Yasuhiro Takeuchi
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Mathematics
Yasuhiro Takeuchi's Degrees
- PhD Mathematics Kyoto University
- Masters Mathematics Kyoto University
- Bachelors Mathematics Kyoto University
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(Suggest an Edit or Addition)Yasuhiro Takeuchi's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Global Dynamical Properties of Lotka-Volterra Systems (1996) (521)
- Global stability of an SIR epidemic model with time delays (1995) (305)
- Lyapunov Functionals for Delay Differential Equations Model of Viral Infections (2010) (225)
- Global asymptotic stability of an SIR epidemic model with distributed time delay (2001) (205)
- SVIR epidemic models with vaccination strategies. (2008) (197)
- Global Stability for Delay SIR and SEIR Epidemic Models with Nonlinear Incidence Rate (2010) (188)
- Global stability of an SIR epidemicmodel with time delay (2004) (187)
- Avian-human influenza epidemic model. (2007) (183)
- Global asymptotic properties of a delay SIR epidemic model with finite incubation times (2000) (181)
- Predator-prey dynamics in models of prey dispersal in two-patch environments. (1994) (170)
- Global properties for virus dynamics model with Beddington-DeAngelis functional response (2009) (160)
- Dynamics of the density dependent predator–prey system with Beddington–DeAngelis functional response (2011) (156)
- Evolution of predator–prey systems described by a Lotka–Volterra equation under random environment (2006) (135)
- Permanence of an SIR epidemic model with distributed time delays (2001) (123)
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model (2012) (123)
- Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response (2011) (115)
- Existence and bifurcation of stable equilibrium in two-prey, one-predator communities (1983) (114)
- Convergence results in SIR epidemic models with varying population sizes (1997) (111)
- Global analysis on delay epidemiological dynamic models with nonlinear incidence (2011) (107)
- Global Asymptotic Stability of Lotka–Volterra Diffusion Models with Continuous Time Delay (1988) (107)
- Optimal control strategy for prevention of avian influenza pandemic. (2009) (101)
- Dynamical behavior of Lotka-Volterra competition systems: non-autonomous bistable case and the effect of telegraph noise (2004) (96)
- The existence of globally stable equilibria of ecosystems of the generalized Volterra type (1980) (91)
- Global asymptotic behavior in single-species discrete diffusion systems (1993) (77)
- Spreading disease with transport-related infection. (2006) (74)
- Global stability and periodic orbits for two-patch predator-prey diffusion-delay models (1987) (71)
- Global stability of single-species diffusion volterra models with continuous time delays (1987) (66)
- Permanence, extinction and periodic solution of predator–prey system with Beddington–DeAngelis functional response (2006) (65)
- Avian flu pandemic: Can we prevent it? (2009) (64)
- Stability analysis in delayed within-host viral dynamics with both viral and cellular infections (2016) (63)
- Permanence and global attractivity for competitive Lotka-Volterra systems with delay (1994) (62)
- Diffusion-mediated persistence in two-species competition Lotka-Volterra model. (1989) (59)
- Modeling the role of information and limited optimal treatment on disease prevalence. (2017) (58)
- Permanence of single-species stage-structured models (2004) (58)
- Complementary cooperation between two syntrophic bacteria in pesticide degradation. (2009) (57)
- Dynamics of a predator-prey system with fear and group defense (2020) (56)
- Permanence and extinction for dispersal population systems (2004) (55)
- The stability of generalized Volterra equations (1978) (55)
- Construction of Lyapunov functionals for delay differential equations in virology and epidemiology (2012) (55)
- Dynamical properties of autoimmune disease models: tolerance, flare-up, dormancy. (2007) (51)
- Spread of disease with transport-related infection and entry screening. (2006) (50)
- Global dynamics of SIS models with transport-related infection (2007) (48)
- Qualitative and bifurcation analysis using an SIR model with a saturated treatment function (2012) (48)
- Permanence of a delayed SIR epidemic model with density dependent birth rate (2007) (47)
- Prevention of avian influenza epidemic: what policy should we choose? (2008) (46)
- Global stability in generalized Lotka-Volterra diffusion systems (1986) (45)
- Conflict between the need to forage and the need to avoid competition: persistence of two-species model. (1990) (44)
- Diffusion effect on stability of Lotka-Volterra models. (1986) (44)
- Cooperative systems theory and global stability of diffusion models (1989) (43)
- QUALITATIVE PROPERTIES OF CHEMOSTAT EQUATIONS WITH TIME DELAYS (1995) (43)
- Permanence and global stability for cooperative Lotka-Volterra diffusion systems (1992) (43)
- Impact of intracellular delay, immune activation delay and nonlinear incidence on viral dynamics (2011) (42)
- Maturation delay for the predators can enhance stable coexistence for a class of prey-predator models. (2017) (42)
- Mathematical modeling on helper T cells in a tumor immune system (2013) (41)
- Mathematics for Life Science and Medicine (2009) (41)
- Global stability of ecosystems of the generalized volterra type (1978) (40)
- Permanence of delayed population model with dispersal loss. (2006) (39)
- Persistence and periodic orbits of a three-competitor model with refuges. (1992) (38)
- Global asymptotic stability for HIV-1 dynamics with two distributed delays. (2012) (36)
- A geographical spread of vaccine-resistance in avian influenza epidemics. (2009) (35)
- Immune impairment in HIV infection: existence of risky and immunodeficiency thresholds. (2009) (35)
- Dynamics in a tumor immune system with time delays (2015) (34)
- Stability analysis on a predator-prey system with distributed delays (1998) (34)
- A predator-prey system with a stage structure for the prey (2006) (33)
- Periodicity and global dynamics of an impulsive delay Lasota–Wazewska model (2007) (33)
- Modeling the control of infectious diseases: Effects of TV and social media advertisements. (2018) (32)
- Global stability of population models with patch structure (2006) (31)
- Immune impairment thresholds in HIV infection. (2009) (30)
- Stability, delay, and chaotic behavior in a lotka-volterra predator-prey system. (2005) (30)
- Prey-predator system with parental care for predators. (2006) (29)
- A MULTI-GROUP SVEIR EPIDEMIC MODEL WITH DISTRIBUTED DELAY AND VACCINATION (2012) (28)
- HIV evolution and progression of the infection to AIDS. (2012) (27)
- Adaptation of prey and predators between patches. (2009) (27)
- A mathematical model for pest management in Jatropha curcas with integrated pesticides - An optimal control approach (2019) (26)
- Paradox of Vaccination: Is Vaccination Really Effective against Avian Flu Epidemics? (2009) (26)
- Permanence and global stability for competitive Lotka-Volterra diffusion systems (1995) (25)
- Optimal control of infectious disease: Information-induced vaccination and limited treatment (2020) (24)
- Global stability of single-species diffusion Volterra models with continuous time delays. (1987) (23)
- Stability analysis of the Kaldor model with time delays: monetary policy and government budget constraint (2004) (22)
- Permanence of dispersal population model with time delays (2006) (22)
- Sveir epidemiological model with varying infectivity and distributed delays. (2011) (21)
- A mathematical design of vector vaccine against autoimmune disease (2008) (20)
- Alternative models for species replacement of pelagic fishes (1991) (20)
- Dynamical properties of a stage structured three-species model with intra-guild predation (2007) (20)
- Model analysis of the effect of environmental fluctuation on the species replacement pattern of pelagic fishes under interspecific competition (1992) (20)
- Dual role of delay effects in a tumour–immune system (2017) (19)
- On evolution under symmetric and asymmetric competitions. (2008) (19)
- Adaptive evolution of foraging-related traits in a predator-prey community. (2011) (19)
- Mathematical modeling on T-cell mediated adaptive immunity in primary dengue infections. (2017) (18)
- Dynamics of an SIQS epidemic model with transport-related infection and exit-entry screenings. (2011) (18)
- Permanence of host-parasitoid systems (2001) (18)
- Negative criteria for the existence of periodic solutions in a class of delay-differential equations (2002) (17)
- Permanence of a single-species dispersal system and predator survival (2005) (16)
- Salinger's the Catcher in the Rye (2002) (16)
- Stability of epidemic models with waning immunity (2014) (16)
- Modeling the impact of sanitation and awareness on the spread of infectious diseases. (2019) (16)
- Influence of Allee effect in prey populations on the dynamics of two-prey-one-predator model. (2018) (16)
- Competition in chemostat-type equations with two habitats. (2006) (15)
- A mathematical model for drug administration by using the phagocytosis of red blood cells (1996) (15)
- Impulsive control of multiple Lotka–Volterra systems (2013) (15)
- Mathematics for Ecology and Environmental Sciences (2007) (15)
- Construction of Lyapunov functions for some models of infectious diseases in vivo: from simple models to complex models. (2014) (15)
- A TIME-DELAY MODEL FOR PREY-PREDATOR GROWTH WITH STAGE STRUCTURE (15)
- Mathematical modeling and bifurcation analysis of pro- and anti-tumor macrophages (2020) (15)
- Influence of predation on species coexistence in Volterra models (1984) (14)
- Dynamics of the density dependent and nonautonomous predator-prey systemwith Beddington-DeAngelis functional response (2015) (13)
- Diffusion-mediated persistence in three-species competition models with heteroclinic cycles. (1991) (13)
- Viral diversity limits immune diversity in asymptomatic phase of HIV infection. (2008) (13)
- Stable equilibrium of systems of generalized Volterra type (1982) (12)
- An age-structured virus model with two routes of infection in heterogeneous environments (2018) (12)
- Nonexistence of periodic solutions in delayed Lotka---Volterra systems (2002) (12)
- The Effect of Mutualism on Community Stability (2003) (11)
- A model for population dynamics of the mimetic butterfly Papilio polytes in the Sakishima Islands, Japan. (2014) (11)
- Global stability for epidemic model with constant latency and infectious periods. (2012) (11)
- Frequency dependence and viral diversity imply chaos in an HIV model (2006) (11)
- Adaptive evolution of anti-predator ability promotes the diversity of prey species: Critical function analysis (2012) (11)
- Modeling the effect of time delay in budget allocation to control an epidemic through awareness (2017) (11)
- Dynamic process and variation in the contact process (2000) (10)
- A conservation law for virus infection kinetics in vitro. (2015) (10)
- STABILITY OF A 2-DIMENSIONAL NEURAL NETWORK WITH TIME DELAYS (2000) (10)
- Dynamical Adaptation of Parental Care (2009) (10)
- Existence of stable equilibrium point for dynamical systems of Volterra type (1981) (9)
- Modeling the Allee effects induced by cost of predation fear and its carry-over effects (2021) (9)
- Qualitative Stability and Global Stability for Lotka-Volterra Systems (1994) (9)
- Stability conditions for a class of delay differential equations in single species population dynamics (2012) (9)
- The effect of evolution on host-parasitoid systems. (2001) (9)
- Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate (2004) (9)
- M-matrix structure and harmless delays in a Hopfield-type neural network (2009) (8)
- Stabilizing effect of intra-specific competition on prey-predator dynamics with intraguild predation (2018) (8)
- Invest conflicts of adult predators. (2008) (8)
- Apoptosis in virus infection dynamics models (2014) (8)
- A mathematical model of multiple delayed feedback control system of the gut microbiota—Antibiotics injection controlled by measured metagenomic data (2018) (8)
- Retrovirus time travel. (1998) (7)
- Dynamics of a delayed plant disease model with Beddington-DeAngelis disease transmission. (2020) (7)
- ESTIMATE OF VIRAL PRODUCTIVITY AND INFECTIVITY IN VITRO (2010) (7)
- Global dynamic behavior for Lotka-Volterra systems with a reducible interaction matrix (1995) (7)
- The Burning Carousel and the Carnivalesque: Subversion and Transcendence at the Close of the Catcher in the Rye (2002) (7)
- Global dynamics of a latent HIV infection model with general incidence function and multiple delays (2019) (7)
- T-Cell mediated adaptive immunity and antibody-dependent enhancement in secondary dengue infection. (2019) (7)
- Effect of DAA therapy in hepatitis C treatment - an impulsive control approach. (2021) (6)
- Emergence of Spatial Patterns in a Damaged Diffusive Eco-Epidemiological System (2018) (6)
- Mathematical Studies of Dynamics and Evolution of Infectious Diseases (2007) (6)
- Study of the Prediction Method for Maximum Traction Coefficient (2013) (6)
- THRESHOLD DYNAMICS IN A PERIODIC SVEIR EPIDEMIC MODEL (2011) (6)
- REFUGE-MEDIATED GLOBAL COEXISTENCE OF MULTIPLE COMPETITORS ON A SINGLE RESOURCE (1992) (5)
- A Model for Population Dynamics of the Mimetic Butterfly Papilio polytes in Sakishima Islands, Japan (II) (2017) (5)
- Exploring the dynamics of a tritrophic food chain model with multiple gestation periods. (2019) (5)
- Mathematical Modelling of the Inhibitory Role of Regulatory T Cells in Tumor Immune Response (2020) (5)
- Thermal Analysis of Traction Contact Area Using a Thin-film Temperature Sensor (2013) (5)
- Dynamical behavior of combinational immune boost against tumor (2015) (5)
- Dynamics for Phytoplankton-Zooplankton System with Time Delays (2017) (5)
- Chronic Inflammation in the Epidermis: A Mathematical Model (2016) (4)
- Complicated dynamics of tumor-immune system interaction model with distributed time delay (2020) (4)
- Oscillations in Prey-Predator Volterra Models (1983) (4)
- The Impact of Sea Level Rise Due to Global Warming on the Coastal Population Dynamics: A Modeling Study (2021) (4)
- Mathematical analysis of a HIV model with frequency dependence and viral diversity. (2008) (4)
- Effect of parental care and aggregation on population dynamics. (2009) (3)
- Predator-Mediated Coexistence of Competing Species in a Volterra Model (1985) (3)
- Calculation of final size for vector-transmitted epidemic model. (2019) (3)
- How can three species coexist in a periodic chemostat? : Mathematical and Numerical Study (2005) (3)
- Dynamics and spatio-temporal patterns in a prey-predator system with aposematic prey. (2019) (3)
- The evolution of periodic population systems under random environments (2005) (3)
- Dynamics and stability of ecological models (1986) (3)
- Mathematical modeling and analysis of combinational immune boost for tumor elimination (2016) (3)
- Spatial pattern formation in a model ecosystem: exchange between symbiosis and competition (2001) (3)
- Avian-Human influenza epidemic model(Recent Developments in Dynamical Systems) (2007) (2)
- Mathematical study on sharing metabolism (2007) (2)
- Diffusion effect on stability of Lotka-Volterra models (1986) (2)
- Delayed SIR Epidemic Models for Vector Diseases (2007) (2)
- Two Types of Coexistence in Cross‐Feeding Microbial Consortia (2008) (2)
- Global Stability Conditions for Three-Dimensional Lotka-Volterra Systems (1994) (2)
- Dynamic model of three competing social groups (1989) (2)
- Infection Threshold for an Epidemic Model in Site and Bond Percolation Worlds (2010) (2)
- Non-existence of periodic solutions in delayed Lotka-Volterra systems (Mathematical Models in Functional Equations) (2000) (2)
- Evolutionary dynamics of single species model with Allee effects and aposematism (2021) (2)
- Analysis of a lottery competition model with limited nutrient availability (2007) (2)
- Stability of neutral differential difference systems with infinite delays (1998) (2)
- A stage-structured time-delay model of single-species exposed to environmental hormone (2001) (2)
- A dynamic model describing heterotrophic culture of Chlorella and its stability analysis. (2011) (1)
- PA-40 Mathematical modeling and experimental analysis of syntrophic association in pesticide degradation(Symbiosis/Cell to cell interaction,Poster presentation A) (2007) (1)
- Tracking Twain: The Unfulfilled Pursuit in Mark Twain’s Detective Fiction (2015) (1)
- A predator–prey model with inverse trophic relation and time delay (2005) (1)
- The Zen Archery of Holden Caulfield (2004) (1)
- The relationship between endophyte transition and plant species coexistence (2009) (1)
- Delayed feedback induced complex dynamics in an Escherichia coli and Tetrahymena system (2018) (1)
- Gatsby’s Green Light as a Traffic Signal: F. Scott Fitzgerald’s Motive Force (2016) (1)
- COEVOLUTIONARY DYNAMICS OF PREDATOR-PREY INTERACTIONS (2012) (1)
- The proposal of geographically distributed OSS against a great earthquake — A study on macroscale disaster recovery (2011) (1)
- Stability analysis of a single-species logistic model with time delay and constant inflow (2022) (1)
- On the Stability of Generalized Volterra Equations with M-Function (1978) (1)
- LOTKA-VOLTERRA SYSTEMS (1996) (1)
- Twain’s Trauma and the Unresolved Murder of Huckleberry Finn’s Father (2013) (1)
- A Dynamic Model Describing Heterotrophic Cultures of $Chlorella$ and Its Stability Analysis (Progress in Qualitative Theory of Functional Equations) (2012) (1)
- Two Patricidal Stories (2018) (0)
- The Oedipal Huckleberry Finn (2018) (0)
- Population dynamics of sea bass and young sea bass (2004) (0)
- Preface to the special issue for the JSMB-SMB 2014 conference on mathematical biology (2015) (0)
- Delayed feedback induced complex dynamics in an Escherichia coli and Tetrahymena system (2018) (0)
- A Mathematical Model for a New Kind of Drug Administration by using R.B.C.(Mathematical Topics in Biology) (1994) (0)
- Dynamical behavior of combinational immune boost against tumor (2015) (0)
- 11 Patent Number : 45 Date of Patent : 5 , 402 , 760 Apr . 4 , 1995 54 FUEL ENJECTION CONTROL APPARATUS FOR INTERNAL COMBUSTON ENGINE 75 ) Inventors : (2017) (0)
- Geological risk assessment method on San-in Road Hojo Road (2020) (0)
- The Effects of Migration on Persistence and Extinction (2007) (0)
- Dynamic complexity of a modified Leslie-Gower predator-prey system with fear effect (2023) (0)
- Preface to the special issue for the JSMB-SMB 2014 conference on mathematical biology (2015) (0)
- Stability switches, periodic oscillations and global stability in an infectious disease model with multiple time delays (2023) (0)
- Necessary condition for the coexistence of species in a periodic chemostat (Functional Equations and Complex Systems) (2005) (0)
- Editorial: Mathematical Modeling to Solve the Problems in Life Sciences. (2020) (0)
- Title Dynamical Adaptation of Parental Care (2015) (0)
- STABILITY ANALYSIS ON NEUTRAL DIFFERENTIAL DIFFERENCE SYSTEMS AND POPULATION DYNAMICS (1997) (0)
- Permanence of asingle-species model with 2 stages (2007) (0)
- In Conjunction with under the Auspices of National Natural Science Foundation of China（nsfc） Japan Society for the Promotion of Science（jsps） State Key Laboratory of Vegetation and Environmental Change (2010) (0)
- STABILITY ANALYSIS ON A DELAY $\unboldmath{SIR}$ MODEL WITH DENSITY DEPENDENT BIRTH RATE (1998) (0)
- Title Adaptation of prey and predators between patches (2015) (0)
- A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+ T Cells (2022) (0)
- Mathematical study on microbial coexistence mediated by syntrophic association (2008) (0)
- Homotopy Techniques in Stability Problems of Delay-Diffusion Volterra Models (1988) (0)
- Dynamics of tumor immune escape via adaptive change (2018) (0)
- Global Asymptotic Properties of a Delay SIR Epidemic Model with Varying Population Size and Finite Incubation Times(Structure of Functional Equations and Mathematical Methods) (1997) (0)
- Microbial mutualism promoting the coexistence of competing species: Double-layer model for two competing hosts and one microbial species (2021) (0)
- Notes on the Inscription of the Muniu Yi 牧牛也 (1994) (0)
- GLOBAL DYNAMICAL BEHAVIOR FOR LOTKA-VOLTERRA SYSTEMS(Mathematical Topics in Biology) (1993) (0)
- Huckleberry Finn Redux (2018) (0)
- Revenge, Violence and Capital Punishment (2010) (0)
- When do patients develop AIDS? (Theory of Biomathematics and its Applications IV) (2008) (0)
- EXPERIMENTAL INVESTIGATION ON THE APPLICATION OF GRAVITY DRAINAGE SYSTEM FOR BEACH STABILIZATION TO THE FIELD (2002) (0)
- Longitudinal studies of patients infected with HIV-1 reveal a long and variable length of asymptomatic phase between infection and development of AIDS (2017) (0)
- DIFFUSION-MEDIATED PERSISTENCE OF MATHEMATICAL MODEL IN POPULATION ECOLOGY(Mathematical Topics in Biology) (1991) (0)
- Vehicles and Substitutes : A Rule Directing The Great Gatsby (1993) (0)
- A Fascination with Corpses: Mark Twain's "Shameful Behavior" (2013) (0)
- A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+ T Cells (2022) (0)
- Mark X (2018) (0)
- The Background on Casting of Bronzes in Middle XiZhou 西周 Period (1994) (0)
- Global analysis of a multi-group viral infection model with age structure (2020) (0)
- The Ur-Huckleberry Finn (2018) (0)
- Ecology as a Modern Science (2007) (0)
- Permanence of a single-species model with 2 stages (Dynamics of Functional Equations and Related Topics) (2002) (0)
- Generalized Volterra Equations : Linear Complementarity, Stabilizability and Hopf Bifurcation (1980) (0)
- “The Carnival of Crime” and Cadavers (2018) (0)
- Splits in The Adventures of Tom Sawyer (2018) (0)
- The Periodical Population Dynamics of Lottery Models Including the Effect of Undeveloped Seeds (2008) (0)
- Potential risks of vaccination against avian flu epidemics (2012) (0)
- Mathematical study on sharing metabolism (Workshops on "Pattern Formation Problems in Dissipative Systems" and "Mathematical Modeling and Analysis for Nonlinear Phenomena") (2007) (0)
- LOTKA-VOLTERRA DELAYED SYSTEMS (1996) (0)
- Theoretical aspect of prevention policies against influenza pandemic (2009) (0)
- The Analysis of the Basic Equations of Avalanche Diode (1984) (0)
- Device for controlling the acceleration of a supercharged diesel engine (1997) (0)
- Balance Line in a Lotka-Volterra competition system (Theory of Bio-Mathematics and It's Applications) (2005) (0)
- Permanence of a general periodic single-species system with periodic impulsive perturbations (2007) (0)
- The Seven Year War (2018) (0)
- EXPERIMENTAL STUDY ON WAVE REFLECTION, STABILITY OF MOUND ARMOR BLOCKS, AND WAVE FORCE ON UPRIGHT ABSORBING SLIT CAISSON BREAKWATER IN DEEP SEA. (2002) (0)
- The vaccination program against avian influenza : A mathematical approach (Modeling and Complex analysis for functional equations) (2008) (0)
- Biodiversity of plankton and a Chemostat (Theory of Bio-Mathematics and It's Applications) (2005) (0)
- Fluid pump having an expansion device and Rankine circle with this (2006) (0)
- LOTKA-VOLTERRA SYSTEMS WITH DELAY(Mathematical Topics in Biology) (1994) (0)
- Stability Analysis of a sea bass and young sea bass model (Functional Equations in Mathematical Models) (2003) (0)
- Peformance Comparison of Flow Assignment Methods for an Aggregated Link (2002) (0)
- A delay model for inverse trophic relationship (Mathematical models and dynamics of functional equations) (2004) (0)
- Title Population Dynamics of sea bass and young sea bass (Dynamics of Functional Equations and Related Topics) (2002) (0)
- Title Cyclic Advantage Hypothesis for the Species Replacement of Pelagic Fishes.(Mathematical Topics in Biology) (1994) (0)
- INSTABILITY ANALYSIS OF NONLINEAR NEUTRAL DIFFERENTIAL DIFFERENCE SYSTEMS WITH INFINITE DELAYS(The Functional and Algebraic Method for Differential Equations) (1996) (0)
- Notes on the Inscriptions of the Four Bronze Vessels Made by Qin Wei (1993) (0)
- Permanence of the periodic logistic system with periodic impulsive perturbations(Theory of Bio-Mathematics and Its Applications) (2006) (0)
- Gatsby's Green Light as a Traffic Signal: F. Scott Fitzgerald's Motive Force (2016) (0)
- Dental magnetic mount (2002) (0)
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