A5062462839- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- Nonlinear Partial Differential Equations
- Advanced Mathematical Modeling in Engineering
- Nonlinear Differential Equations Analysis
- Mathematical Biology Tumor Growth
- Nonlinear Dynamics and Pattern Formation
- Stability and Controllability of Differential Equations
- Ecosystem dynamics and resilience
- Differential Equations and Numerical Methods
- Advanced Mathematical Physics Problems
- Advanced Differential Equations and Dynamical Systems
- Stochastic processes and statistical mechanics
- Liver Disease Diagnosis and Treatment
- Evolutionary Game Theory and Cooperation
- DNA Repair Mechanisms
- COVID-19 epidemiological studies
- Fractional Differential Equations Solutions
- Coastal wetland ecosystem dynamics
- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Differential Equations and Boundary Problems
- Gene Regulatory Network Analysis
- Ecology and Vegetation Dynamics Studies
- Numerical methods for differential equations
William & Mary
2016-2025
Williams (United States)
2016-2025
Affiliated Hospital of Hangzhou Normal University
2022-2025
Jishou University
2011-2024
Shandong Academy of Agricultural Sciences
2022
Xian Central Hospital
2022
Xi'an University of Technology
2006-2022
Harbin Normal University
2006-2021
Hangzhou Normal University
2021
Unimed Medical Institute
2019
In this paper, the pattern formation of attraction-repulsion Keller-Segel (ARKS) system is studied analytically and numerically. By Hopf bifurcation theorem as well local global theorem, we rigorously establish existence time-periodic patterns steady state for ARKS model in full parameter regimes, which are identified by a linear stability analysis. We also show that when chemotactic attraction strong, spiky can develop. Explicit rippling wave obtained numerically carefully selecting values...
We propose a new reaction–diffusion predator–prey model system with predator-taxis in which the preys could move opposite direction of predator gradient. A similar situation also occurs when susceptible population avoids infected ones epidemic spreading. The global existence and boundedness solutions bounded domains arbitrary spatial dimension any sensitivity coefficient are proved. It is shown that such does not qualitatively affect stability coexistence steady state many cases. For...
The reaction–diffusion Holling–Tanner predator–prey model with Neumann boundary condition is considered. We perform a detailed stability and Hopf bifurcation analysis derive conditions for determining the direction of bifurcating periodic solution. For partial differential equation (PDE), we consider Turing instability equilibrium solutions solutions. Through both theoretical numerical simulations, show bistability stable solution ordinary phenomenon that becomes unstable PDE.
A single species spatial population model that incorporates Fickian diffusion, memory-based and reaction with maturation delay is formulated. The stability of a positive equilibrium the crossing curves in two-delay parameter plane on which characteristic equation has purely imaginary roots are studied. With Neumann boundary condition, curve separates stable unstable regions may consist two components, where spatially homogeneous inhomogeneous periodic solutions generated through Hopf...
We consider the singular boundary value problem study existence, uniqueness, regularity and dependency on parameters of positive solutions under various assumptions.
A spatially heterogeneous reaction-diffusion system modelling pre-dator-prey interaction is studied, where the governed by a Holling type II functional response. Existence of multiple positive steady states and global bifurcation branches are examined as well related dynamical behavior. It found that while predator population not far from constant level, prey could be extinguished, persist or blow up depending on initial distributions, various parameters in system, environment. In...