Diffusion has been widely applied to model animal movement that follows Brownian motion.
However, animals typically move in non-Brownian ways due to their perceptual judgment …

This paper focuses on the dynamical behavior of a Lotka–Volterra competitive system with
nonlocal delay. We first establish the conditions of Turing bifurcation occurring in the system …

The perception of susceptible individuals naturally lowers the transmission probability of an
infectious disease but has been often ignored. In this paper, we formulate and analyze a …

This article focuses on a stochastic cooperative Lotka–Volterra system with distributed delay.
We first transfer the stochastic system with weak kernel into a degenerate stochastic system …

In this paper, we investigate the spatiotemporal dynamics of a single-species model with
spatiotemporal delays characterizing spatial memory and maturation. Through stability and …

The stability and Hopf bifurcation of the positive steady state to a general scalar reaction–
diffusion equation with distributed delay and Dirichlet boundary condition are investigated in …

In this paper, a reaction-diffusion population model with Dirichlet boundary condition and a
directed movement oriented by a temporally distributed delay is proposed to describe the …

A general reaction–diffusion equation with spatiotemporal delay and homogeneous Dirichlet
boundary condition is considered. The existence and stability of positive steady-state …

Cognition and memory have a significant impact on the spatial movement of animals. This
paper proposes a diffusive model with nonlocal memory-based diffusion to model animal …

In depicting animal movement, besides considering spatial memory, the pregnancy period of
the animals themselves should also be taken into account. This article proposes a novel …