Infectious diseases are a threat to human health and a hindrance to societal development.
Consequently, the spread of diseases in both time and space has been widely studied …

Allee effect that refers to a positive relationship between individual fitness and population
density provides an important conceptual framework in conservation biology. While …

A significant part of this book is based on a graduate course on pattern formation which I
have been teaching during the past two decades in the Physics Department at Ben-Gurion …

It is well known that vegetation patterns characterize the distribution of the vegetation and
provide some signs for vegetation protection. The positive feedbacks regulation between the …

In this paper, a spatial predator-prey model with herd behavior in prey population and
quadratic mortality in predator population is investigated. By the linear stability analysis, we …

In this paper, we present a class of stochastic system of fractional space diffusion equations
forced by additive noise. Our goal here is to approximate the solutions of this system via a …

In this article, we explore the pattern formation caused by fractional cross-diffusion in a 3-
species ecological symbiosis model with harvesting. Initially, all possible points of …

Vegetation pattern is caused by local instability in phase space, which can reflect the
distribution characteristics of vegetation in the studied space. In semi-arid environment, the …

In this paper we derive sufficient conditions for the permanence and ergodicity of a
stochastic predator–prey model with a Beddington–DeAngelis functional response. The …

abstract This paper presents a qualitative study of a diffusive predator–prey system with the
hunting cooperation functional response. For the system without diffusion, the existence …