In this paper, we study the following initial-boundary value problem of a three-species
spatial food chain model {ut= d 1 Δ u+ u (1− u)− b 1 uv, x∈ Ω, t> 0 vt= d 2 Δ v−∇⋅(ξ v∇ u)+ …

Two systematic methods are presented to guide the construction of Lyapunov functions for
general infectious disease models and are thus applicable to establish their global …

The fully parabolic two-species chemotaxis system (∗) u_t=d_1Δu-χ_1\triangledown⋅(u\
triangledownw)+μ_1u(1-u-a_1v)\quadx∈Ω,t\textgreater0,\v_t=d_2Δv-χ_2\triangledown⋅(v …

A diffusive predator–prey system with Holling type-II predator functional response subject to
Neumann boundary conditions is considered. Hopf and steady state bifurcation analysis are …

In the first part of this series of three papers, we investigate the combined effects of diffusion,
spatial variation, and competition ability on the global dynamics of a classical Lotka‐Volterra …

We propose a new reaction–diffusion predator–prey model system with predator-taxis in
which the preys could move in the opposite direction of predator gradient. A similar situation …

This paper is concerned with the global boundedness and stability of classical solutions to
an alarm-taxis system describing the burglar alarm hypothesis as an important mechanism …

In this paper, we dedicate ourselves to the study of a diffusive model for unstirred membrane
reactors with maintenance energy and subject to a homogeneous Neumann boundary …

This paper considers a host-vector mathematical model for the spread of malaria that
incorporates recruitment of human population through a constant immigration, with a fraction …

Multiscale models possess the potential to uncover new insights into infectious diseases.
Here, a rigorous stability analysis of a multiscale model within-host and between-host is …