We consider a diffusive Lotka–Volterra competition system with stage structure, where the
intrinsic growth rates and the carrying capacities of the species are assumed spatially …

This paper is concerned with a non-autonomous delayed Nicholsonʼs blowflies model.
Under proper conditions, we employ a novel argument to establish a criterion on the global …

In this letter, a stochastic mutualism model with Lévy jumps and harvesting is considered.
Under some simple assumptions, sufficient and necessary criteria for the existence of …

In this paper, we employ the new concepts of piecewise almost periodic stochastic process
on a new periodic time scale and study a type of delay impulsive stochastic Nicholson's …

In this work, we propose an efficient finite difference method for the two-dimensional
nonlinear time-fractional diffusion equation with weakly singular solutions. By using …

This paper focuses on a Gilpin–Ayala growth model with spatial diffusion and Neumann
boundary condition to study single species population distribution. In our heterogeneous …

Shortly after the enactment of restrictions aimed at limiting the spread of COVID-19, various
local government and public health authorities around the world reported an increased …

This paper concerns the optimal harvesting of a stochastic delay predator–prey model.
Sufficient and necessary conditions for the existence of an optimal control are established …

Reaction–diffusion systems on a spatially heterogeneous domain have been widely used to
model various biological applications. However, solving such partial differential equations …

Two competing populations in spatially heterogeneous but temporarily constant
environment are investigated: one is subject to regular movements to lower density areas …