This paper is devoted to a review on the dynamics of two species competition systems
including the classical ODE, reaction-diffusion as well as reaction-diffusion-advection …

We consider, for $ N\geq 2$, the system of $ N $ competing species which are ecologically
identical and having distinct diffusion rates $\{D_i\} _ {i= 1}^ N $, in an environment with the …

The evolutionary impact of both temporal periodicity and spatial heterogeneity on population
ecology is a challenging problem. Hutson et al.(2001)[12] and Bai et al.(2022)[2] studied the …

Habitat loss, through degradation and destruction of viable habitat, has a well-documented
and undeniable impact on the sustainability of ecosystems [Diaz et al.(2019), Pimm et …

Consider the eigenvalue problem of a linear second order elliptic operator:\begin
{equation}\nonumber-D\Delta\varphi-2\alpha\nabla m (x)\cdot\nabla\varphi+ V …

In this paper, we study the diffusive Lotka–Volterra system containing the variable
coefficients. In the Sobolev‐space settings, we achieve the well‐posedness properties …

Adaptive dynamics is a conceptual framework enabling the exploration of evolutionary
questions using ecological models. We discuss the framework of adaptive dynamics in the …

In this chapter, we establish the existence of the principal eigenvalue for periodic-parabolic
operators. We study some qualitative properties of the principal eigenvalues, including their …