His primary areas of investigation include Mathematical analysis, Traveling wave, Monotone polygon, Epidemic model and Basic Reproduction Ratio. His work in the fields of Mathematical analysis, such as Reaction–diffusion system, overlaps with other areas such as Multivibrator. Xiao-Qiang Zhao has included themes like Integral equation, Uniqueness and Differential equation in his Traveling wave study.
In his research, Compact space is intimately related to Bistability, which falls under the overarching field of Monotone polygon. His work on Basic reproduction number expands to the thematically related Epidemic model. His Control theory study incorporates themes from Zero and Applied mathematics.
Xiao-Qiang Zhao focuses on Mathematical analysis, Traveling wave, Monotone polygon, Applied mathematics and Reaction–diffusion system. His Mathematical analysis research includes themes of Stability and Bistability. His study in Traveling wave is interdisciplinary in nature, drawing from both Determinacy, Bounded function and Wave speed.
He combines subjects such as Dynamical systems theory, Partial differential equation and Dynamics with his study of Monotone polygon. Applied mathematics is integrated with Basic Reproduction Ratio, Population model, Basic reproduction number and Epidemic model in his study. His Reaction–diffusion system research is multidisciplinary, incorporating perspectives in Constant, Spatial heterogeneity, Meteorology and Algae.
Basic Reproduction Ratio, Applied mathematics, Seasonality, Dynamics and Mathematical analysis are his primary areas of study. In the subject of general Applied mathematics, his work in Competitive Lotka–Volterra equations is often linked to Population model, Delayed reaction and Work, thereby combining diverse domains of study. The study incorporates disciplines such as Reaction–diffusion system, Steady state, Statistical physics, Non monotone and Time periodic in addition to Dynamics.
His research ties Monotone polygon and Mathematical analysis together. Xiao-Qiang Zhao interconnects Partial differential equation, Uniqueness, Bistability and Ordinary differential equation in the investigation of issues within Monotone polygon. His Traveling wave research incorporates themes from Differential, Invertebrate and Interval.
Xiao-Qiang Zhao mainly investigates Applied mathematics, Seasonality, Basic Reproduction Ratio, Extrinsic incubation period and Time periodic. Xiao-Qiang Zhao integrates several fields in his works, including Applied mathematics, Disease control, Period, Variable, Function and Advection. There are a combination of areas like Basic reproduction number, Time delays, Statistics, Chikungunya and Model system integrated together with his Extrinsic incubation period study.
Xiao-Qiang Zhao incorporates a variety of subjects into his writings, including Basic reproduction number, Constant, Steady state, Malaria transmission and Reaction–diffusion system. His work deals with themes such as Differential, Dynamics, Traveling wave, Exponential stability and Interval, which intersect with Time periodic. His studies in Dynamics integrate themes in fields like Non monotone, Monotone polygon and Monotonic function.
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Dynamical systems in population biology
Xiao-Qiang Zhao.
(2003)
Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
Xing Liang;Xiao-Qiang Zhao.
Communications on Pure and Applied Mathematics (2007)
Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments
Wendi Wang;Xiao-Qiang Zhao.
Journal of Dynamics and Differential Equations (2008)
GLOBAL ATTRACTORS AND STEADY STATES FOR UNIFORMLY PERSISTENT DYNAMICAL SYSTEMS
Pierre Magal;Xiao-Qiang Zhao.
Siam Journal on Mathematical Analysis (2005)
Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models
Horst R. Thieme;Xiao Qiang Zhao.
Journal of Differential Equations (2003)
A periodic epidemic model in a patchy environment
Fang Zhang;Xiao-Qiang Zhao.
Journal of Mathematical Analysis and Applications (2007)
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations
Hal L. Smith;Xiao-Qiang Zhao.
Siam Journal on Mathematical Analysis (2000)
Robust persistence for semidynamical systems
Hal L. Smith;Xiao-Qiang Zhao.
Nonlinear Analysis-theory Methods & Applications (2001)
Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems
Morris W. Hirsch;Hal L. Smith;Xiao-Qiang Zhao.
Journal of Dynamics and Differential Equations (2001)
Spreading speeds and traveling waves for abstract monostable evolution systems
Xing Liang;Xiao-Qiang Zhao.
Journal of Functional Analysis (2010)
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