Xiao‐qiang Zhao
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(Suggest an Edit or Addition)Xiao‐qiang Zhao'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
- Dynamical systems in population biology (2003) (922)
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications (2007) (633)
- Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments (2008) (485)
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems (2005) (362)
- Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models (2003) (334)
- An epidemic model in a patchy environment. (2004) (320)
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models (2012) (319)
- Spreading speeds and traveling waves for abstract monostable evolution systems (2010) (237)
- A reaction–diffusion malaria model with incubation period in the vector population (2011) (225)
- Robust persistence for semidynamical systems (2001) (224)
- A periodic epidemic model in a patchy environment (2007) (219)
- A reaction–diffusion SIS epidemic model in a time-periodic environment (2012) (210)
- Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems (2001) (202)
- Spreading speeds and traveling waves for periodic evolution systems (2006) (199)
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations (2000) (192)
- Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations (2008) (167)
- A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission (2011) (153)
- Bistable Traveling Waves for Monotone Semiflows with Applications (2011) (151)
- Fisher waves in an epidemic model (2004) (145)
- Basic Reproduction Ratios for Periodic Compartmental Models with Time Delay (2017) (141)
- Spreading speed and traveling waves for a multi-type SIS epidemic model (2006) (137)
- Traveling Waves for Monotone Semiflows with Weak Compactness (2014) (131)
- A Climate-Based Malaria Transmission Model with Structured Vector Population (2010) (130)
- A Tuberculosis Model with Seasonality (2010) (130)
- Global Stability of Monostable Traveling Waves For Nonlocal Time-Delayed Reaction-Diffusion Equations (2010) (124)
- Existence and uniqueness of traveling waves for non-monotone integral equations with applications (2010) (110)
- A non-local delayed and diffusive predator—prey model (2001) (110)
- The diffusive logistic model with a free boundary and seasonalsuccession (2012) (100)
- An Age-Structured Epidemic Model in a Patchy Environment (2005) (94)
- GLOBAL ASYMPTOTIC BEHAVIOR IN SOME COOPERATIVE SYSTEMS OF FUNCTIONAL DIFFERENTIAL EQUATIONS (2005) (94)
- Basic Reproduction Ratios for Periodic Abstract Functional Differential Equations (with Application to a Spatial Model for Lyme Disease) (2019) (93)
- Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments (2019) (85)
- Monotone wavefronts of the nonlocal Fisher–KPP equation (2011) (84)
- Threshold dynamics of a time periodic reaction–diffusion epidemic model with latent period (2015) (78)
- The qualitative analysis of n-species Lotka-Volterra periodic competition systems (1991) (75)
- Traveling waves and spreading speeds for time-space periodic monotone systems (2015) (75)
- Spatial Dynamics of a Nonlocal Dispersal Population Model in a Shifting Environment (2017) (72)
- UNIFORM PERSISTENCE AND PERIODIC COEXISTENCE STATES IN INFINITE-DIMENSIONAL PERIODIC SEMIFLOWS WITH APPLICATIONS (2005) (70)
- On a Lotka–Volterra competition model: the effects of advection and spatial variation (2016) (67)
- Bistable Waves in an Epidemic Model (2004) (67)
- A Theoretical Approach to Understanding Population Dynamics with Seasonal Developmental Durations (2017) (66)
- Dynamics in a periodic competitive model with stage structure (2005) (65)
- Spatial dynamics of a periodic population model with dispersal (2009) (65)
- Dynamics of a Periodically Pulsed Bio-Reactor Model With a Hydraulic Storage Zone (2011) (63)
- The Asymptotic Speed of Spread and Traveling Waves for a Vector Disease Model (2006) (60)
- Spatiotemporal patterns in a reaction–diffusion model with the Degn–Harrison reaction scheme☆ (2013) (56)
- Monotone Wavefronts for Partially Degenerate Reaction-Diffusion Systems (2009) (55)
- A reaction–diffusion malaria model with seasonality and incubation period (2018) (54)
- Spatial dynamics of a nonlocal and time-delayed reaction–diffusion system (2008) (54)
- Persistence and Extinction in Two Species Reaction–Diffusion Systems with Delays (1999) (53)
- Global attractivity and stability in some monotone discrete dynamical systems (1996) (53)
- Saddle-point behavior for monotone semiflows and reaction–diffusion models☆ (2004) (52)
- Global dynamics of zooplankton and harmful algae in flowing habitats (2013) (51)
- Time Periodic Traveling Waves for a Periodic and Diffusive SIR Epidemic Model (2018) (51)
- SPATIAL DYNAMICS OF SOME EVOLUTION SYSTEMS IN BIOLOGY (2009) (50)
- Global attractivity in monotone and subhomogeneous almost periodic systems (2003) (50)
- Global Asymptotics in Some Quasimonotone Reaction-Diffusion Systems with Delays (1997) (50)
- An Epidemic Model with Population Dispersal and Infection Period (2006) (50)
- Spreading speeds and travelling waves for non-monotone time-delayed lattice equations (2010) (49)
- Dynamics of a Periodically Pulsed Bio-reactor Model (1999) (48)
- A Malaria Transmission Model with Temperature-Dependent Incubation Period (2017) (48)
- Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat (2014) (47)
- Threshold dynamics in a time-delayed periodic sis epidemic model (2009) (47)
- Asymptotic speed of spread and traveling waves for a nonlocalepidemic model (2005) (46)
- GLOBAL ATTRACTIVITY IN A CLASS OF NONMONOTONE REACTION-DIFFUSION EQUATIONS WITH TIME DELAY (2009) (46)
- Uniqueness and global stability of forced waves in a shifting environment (2018) (45)
- Convergence in monotone and uniformly stable skew-product semiflows with applications (2005) (44)
- Global asymptotic stability of minimal fronts in monostable lattice equations (2008) (44)
- Propagation Phenomena for A Reaction–Advection–Diffusion Competition Model in A Periodic Habitat (2014) (42)
- A Lotka–Volterra competition model with seasonal succession (2012) (42)
- A Periodic Vector-Bias Malaria Model with Incubation Period (2017) (41)
- Spatial Dynamics of a Nonlocal Periodic Reaction-Diffusion Model with Stage Structure (2009) (41)
- Propagation dynamics of a nonlocal dispersal Fisher-KPP equation in a time-periodic shifting habitat (2020) (40)
- Evolution of passive movement in advective environments: General boundary condition (2018) (39)
- The periodic Ross–Macdonald model with diffusion and advection (2010) (38)
- A NONLOCAL REACTION-DIFFUSION POPULATION MODEL WITH STAGE STRUCTURE (2009) (37)
- Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations (2002) (37)
- Asymptotic Behavior for Asymptotically Periodic Semiflows with Applications (1996) (36)
- A vector-bias malaria model with incubation period and diffusion (2012) (36)
- Traveling waves in a bio-reactor model (2004) (36)
- Erratum to “Bistable Waves in an Epidemic Model” [J. Dynam. Diff. Eq. 16, 679--707 (2004)] (2005) (36)
- A cholera epidemic model in a spatiotemporally heterogeneous environment (2018) (35)
- A Reaction-Diffusion Lyme Disease Model with Seasonality (2013) (35)
- A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species (2016) (35)
- Basic Reproduction Ratios for Almost Periodic Compartmental Epidemic Models (2013) (34)
- Asymptotic behaviour of a reaction–diffusion model with a quiescent stage (2007) (33)
- Spatial dynamics of a nonlocal and delayed population model in a periodic habitat (2010) (33)
- Global stability for non-monotone delay equations (with application to a model of blood cell production) (2012) (32)
- Spatial Invasion Threshold of Lyme Disease (2015) (31)
- Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications (2015) (31)
- A Reaction–Diffusion Model of Vector-Borne Disease with Periodic Delays (2018) (30)
- Dynamics of a Time-Delayed Lyme Disease Model with Seasonality (2017) (30)
- Global Dynamics of a Two Species Competition Model in Open Stream Environments (2018) (29)
- Global asymptotic behavior in a periodic competitor-competitor-mutualist parabolic system (1997) (29)
- Transition fronts for periodic bistable reaction-diffusion equations (2015) (29)
- Threshold Dynamics in a Delayed SIS Epidemic Model (2001) (29)
- A nonlocal spatial model for Lyme disease (2016) (29)
- Global dynamics of a reaction and diffusion model for Lyme disease (2012) (28)
- Bistable travelling waves for a reaction and diffusion model with seasonal succession (2013) (28)
- An extension of the formula for spreading speeds. (2010) (27)
- Modelling Malaria Control by Introduction of Larvivorous Fish (2011) (27)
- Uniqueness of traveling waves for nonlocal lattice equations (2011) (26)
- Propagation phenomena for a two-species Lotka–Volterra strong competition system with nonlocal dispersal (2019) (26)
- Bistable travelling waves in competitive recursion systems (2012) (25)
- Permanence in Kolmogorov periodic predator-prey models with diffusion (1994) (24)
- Competitive exclusion in a discrete-time, size-structured chemostat model (2001) (24)
- Permanence and convergence in multi-species competition systems with delay (1998) (24)
- Spreading speeds of a partially degenerate reaction–diffusion system in a periodic habitat (2013) (23)
- Spreading speed and travelling waves for a spatially discrete SIS epidemic model (2007) (23)
- $N$-species competition in a periodic chemostat (1998) (23)
- Uniform persistence for nonautonomous and random parabolic Kolmogorov systems (2004) (21)
- Nonlinear Dynamics and Evolution Equations (2006) (21)
- Time periodic traveling wave solutions for a Kermack–McKendrick epidemic model with diffusion and seasonality (2020) (20)
- A climate-based malaria model with the use of bed nets (2018) (20)
- Global Dynamics of a Time-Delayed Microorganism Flocculation Model with Saturated Functional Responses (2018) (20)
- Propagation dynamics of a reaction-diffusion equation in a time-periodic shifting environment (2020) (19)
- Propagation dynamics of a time periodic and delayed reaction-diffusion model without quasi-monotonicity (2019) (19)
- Permanence Implies the Existence of Interior Periodic Solutions for FDEs (2008) (19)
- Propagation Dynamics in a Time Periodic Nonlocal Dispersal Model with Stage Structure (2020) (18)
- Pulsating waves of a partially degenerate reaction – diffusion system in a periodic habitat ✩ (2015) (17)
- Uniform Persistence in Processes With Application to Nonautonomous Competitive Models (2001) (16)
- Bistable waves for a class of cooperative reaction–diffusion systems (2008) (16)
- The Principal Eigenvalue for Degenerate Periodic Reaction-Diffusion Systems (2017) (16)
- Dynamics of a climate-based periodic Chikungunya model with incubation period (2020) (14)
- A reaction–diffusion–advection model of harmful algae growth with toxin degradation (2015) (14)
- A Periodic Epidemic Model with Age Structure in a Patchy Environment (2011) (14)
- A periodic SEIRS epidemic model with a time-dependent latent period (2019) (14)
- Convergence in Monotone and Subhomogeneous Discrete Dynamical Systems on Product Banach Spaces (2003) (14)
- A periodic reaction–advection–diffusion model for a stream population (2015) (13)
- Global Dynamics of a Reaction–Diffusion Model of Zika Virus Transmission with Seasonality (2021) (13)
- A West Nile Virus Model with Vertical Transmission and Periodic Time Delays (2020) (13)
- Spatial Dynamics of a Discrete-Time Population Model in a Periodic Lattice Habitat (2009) (13)
- Bistable traveling waves for a competitive-cooperative system with nonlocal delays (2018) (12)
- Microbial Growth in a Plug Flow Reactor with Wall Adherence and Cell Motility (2000) (12)
- Convergence in almost periodic cooperative systems with a first integral (2004) (12)
- The impact of migrant workers on the tuberculosis transmission: general models and a case study for China. (2012) (12)
- Global dynamics of a nonlocal periodic reaction-diffusion model of bluetongue disease (2021) (11)
- Basic reproduction ratios for almost periodic compartmental models with time delay (2020) (11)
- A reaction–diffusion model of harmful algae and zooplankton in an ecosystem (2017) (11)
- The principal eigenvalue for periodic nonlocal dispersal systems with time delay (2019) (11)
- A Within-Host Virus Model with Periodic Multidrug Therapy (2013) (11)
- Global dynamics of a state-dependent delay model with unimodal feedback (2013) (11)
- Monostable waves and spreading speed for a reaction-diffusion model with seasonal succession (2015) (10)
- Spreading speed and traveling waves for the diffusive logistic equation with a sedentary compartment (2005) (10)
- Spatial Invasion of a Birth Pulse Population with Nonlocal Dispersal (2019) (9)
- A West Nile Virus Transmission Model with Periodic Incubation Periods (2019) (9)
- A Periodic Droop Model for Two Species Competition in A Chemostat (2009) (9)
- Propagation Dynamics for a Spatially Periodic Integrodifference Competition Model (2017) (8)
- Spatial Dynamics of A Reaction-Diffusion Model with Distributed Delay (2013) (8)
- Propagation dynamics for monotone evolution systems without spatial translation invariance (2020) (8)
- Threshold dynamics in a time-delayed epidemic model with dispersal. (2009) (8)
- Propagation Dynamics for Time-Periodic and Partially Degenerate Reaction-Diffusion Systems (2022) (7)
- Asymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion Systems (2020) (7)
- Dynamics of a Periodic Bluetongue Model with a Temperature-Dependent Incubation Period (2019) (6)
- Competition for two essential resources with internal storage and periodic input (2016) (6)
- Basic reproduction ratios for periodic and time-delayed compartmental models with impulses (2019) (6)
- Asymptotic pattern of a migratory and nonmonotone population model (2014) (5)
- A reaction-advection-diffusion model of cholera epidemics with seasonality and human behavior change (2022) (5)
- Erratum: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications (2008) (5)
- non-monotone time-delayed lattice equations Spreading speeds and travelling waves for (2010) (5)
- Uniqueness and stability of bistable waves for monotone semiflows (2021) (5)
- Dynamics for a diffusive competition model with seasonal succession and different free boundaries (2021) (5)
- A Stage-Structured Population Model with Time-Dependent Delay in an Almost Periodic Environment (2020) (5)
- Global Convergence in Monotone and Uniformly Stable Recurrent Skew-Product Semiflows (2012) (4)
- Dynamics of a periodic Chikungunya model with temperature and rainfall effects (2020) (4)
- The evolution dynamics of an impulsive hybrid population model with spatial heterogeneity (2021) (4)
- Erratum: Global Stability of Monostable Traveling Waves For Nonlocal Time-delayed Reaction-diffusion Equations (2012) (4)
- The Theory of Basic Reproduction Ratios (2017) (4)
- Regional climate affects salmon lice dynamics, stage structure and management (2019) (4)
- A Delayed Succession Model With Diffusion for the Impact of Diapause on Population Growth (2020) (4)
- A Population Model with Periodic Delay (2017) (3)
- Perturbations of Periodic Competitive Parabolic Systems (2001) (3)
- A Theoretical Approach to Understanding Population Dynamics with Seasonal Developmental Durations (2016) (3)
- Dissipative Dynamical Systems (2017) (3)
- A cross-infection model with diffusive environmental bacteria (2022) (2)
- Permanence and Positive Periodic Solutions ofn-Species Competition Reaction–Diffusion Systems with Spatial Inhomogeneity (1996) (2)
- Mathematical modeling and analysis of harmful algal blooms in flowing habitats. (2019) (2)
- Target reproduction numbers for reaction-diffusion population models (2020) (2)
- Errata to “The Asymptotic Speed of Spread and Traveling Waves for a Vector Disease Model” (2008) (2)
- Traveling waves and spreading properties for a reaction-diffusion competition model with seasonal succession (2021) (2)
- The spatial dynamics of a Zebra mussel model in river environments (2021) (1)
- Malaria Control by Introduction of Larvivorous Fish (2011) (1)
- A Nonlocal and Delayed Predator—Prey Model (2017) (1)
- Global dynamics of evolution systems with asymptotic annihilation (2023) (1)
- Some remarks on lattice and nonlocal dispersal evolution systems (2022) (1)
- A Lotka–Volterra competition model with seasonal succession (2011) (1)
- Regional climate affects salmon lice dynamics, stage structure, and management (2019) (1)
- Notes on nonlocal dispersal equations in a periodic habitat (2017) (1)
- A Threshold Phenomenon in a Reaction-Diffusion Equation with Temporal Delays 1 (1998) (1)
- Threshold dynamics of a nonlocal and time-delayed West Nile virus model with seasonality (2022) (1)
- Transmission dynamics of a general temporal-spatial vector-host epidemic model with an application to the dengue fever in Guangdong, China (2022) (1)
- Exponential and Algebraical Stability of Traveling Wavefronts in Periodic Spatial-Temporal Environments (2011) (1)
- Adaptive finite time control for a class of hyperchaotic financial systems (2021) (1)
- Supplementary material from "Regional climate affects salmon lice dynamics, stage structure and management" (2019) (1)
- On a Lotka–Volterra competition model: the effects of advection and spatial variation (2016) (0)
- Asymptotic behavior of the principal eigenvalue and the basic reproduction ratio for periodic patch models (2021) (0)
- A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species (2015) (0)
- n-Species Competition in a Periodic (2007) (0)
- A periodic SEIRS epidemic model with a time-dependent latent period (2019) (0)
- Asymptotic Behavior for Asymptotically Periodic Semio ws with Applications 1 (1996) (0)
- On rooted properties of complex analytic systems (1994) (0)
- Spatial Dynamics of Species with Annually Synchronized Emergence of Adults (2022) (0)
- Special issue dedicated to the memory of Paul Waltman (2015) (0)
- Transition fronts for periodic bistable reaction-diffusion equations (2015) (0)
- Bistable waves for a class of cooperative reaction–diffusion systems (2008) (0)
- Persistence of periodic patterns for perturbed biological oscillators (2009) (0)
- Almost Periodic Competitive Systems (2017) (0)
- Global dynamics of a reaction and diffusion model for Lyme disease (2011) (0)
- Global Dynamics of a Two Species Competition Model in Open Stream Environments (2016) (0)
- Propagation Dynamics in a Time Periodic Nonlocal Dispersal Model with Stage Structure (2019) (0)
- Uniform Persistence and Positive Periodic Solutions of Predator–Prey Reaction–Diffusion Systems with Spatial Heterogeneity (2020) (0)
- Robust Persisten e for Semidynami alSystemsHal (0)
- Traveling Waves in Bistable Nonlinearities (2017) (0)
- Propagation Dynamics of Two Species Competition Models in a Periodic Discrete Habitat (2023) (0)
- A Reaction–Diffusion Model of Vector-Borne Disease with Periodic Delays (2018) (0)
- Propagation Phenomena for A Reaction–Advection–Diffusion Competition Model in A Periodic Habitat (2015) (0)
- Bistable Traveling Waves for Monotone Discrete-time Recursive Systems (2016) (0)
- A reaction–diffusion malaria model with seasonality and incubation period (2017) (0)
- The Sixth International Conference on Recent Advances in Applied Dynamical Systems (2012) (0)
- A multi-host schistosomiasis model with seasonality and time-dependent delays (2022) (0)
- The linear stability and basic reproduction numbers for autonomous FDEs (2023) (0)
- Competitor–Competitor–Mutualist Systems (2017) (0)
- A Periodic Reaction–Diffusion SIS Model (2017) (0)
- A Periodically Pulsed Bioreactor Model (2017) (0)
- A West Nile Virus Model with Vertical Transmission and Periodic Time Delays (2019) (0)
- Linear and nonlinear minimal speed selection of traveling waves for a competitive system with nonlocal dispersal (2022) (0)
- A Discrete-Time Chemostat Model (2017) (0)
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