The article contains the author's reflections on recent developments in a very select portion
of the now vast subject of monotone dynamical systems. Continuous time systems …

In this paper, we investigate a diffusive host–pathogen model with heterogeneous
parameters and distinct dispersal rates for the susceptible and infected hosts. We first prove …

This paper is devoted to studying the impact of human behavior on cholera infection. We
start with a cholera ordinary differential equation (ODE) model that incorporates human …

This paper provides the effects of nutrients concentrations on the algae growth via solitary
wave analysis and classical existence theory. There is a well known Diffusive Nutrient-Algae …

In this paper, we first establish the theory of principal eigenvalues for a large class of
partially degenerate, linear and periodic parabolic cooperative systems with time delay …

The theory of the principal eigenvalue is established for the eigenvalue problem associated
with a linear time-periodic parabolic cooperative system with some zero diffusion …

We consider an in-host virus dynamics model with spatial heterogeneity on the general
bounded domain, and homogenous Neumann boundary condition. Under the assumption …

In this paper, we deal with a diffusive SIR epidemic model with nonlinear incidence of the
form IpSq for 0 < p≤ 1 in a heterogeneous environment. We establish the boundedness …

Considering the influence of environmental capacity and forgetting on rumor spreading, we
improve the traditional SIR (susceptible–infected–removed) rumor propagation model and …

We study the global stability issue of the reaction-convection-diffusion cholera epidemic
PDE model and show that the basic reproduction number serves as a threshold parameter …