In this paper, we investigate the spatial pattern formation of a predator–prey system with
prey-dependent functional response Ivlev-type and reaction-diffusion. The Hopf bifurcation …

Background The study of dynamic relationship between a multi-species models has gained
a huge amount of scientific interest over the years and will continue to maintain its …

We investigate an N-particle Bose-Hubbard dimer with an additional effective decay term in
one of the sites. A mean-field approximation for this non-Hermitian many-particle system is …

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 …

Mechanisms and scenarios of pattern formation in predator–prey systems have been a focus
of many studies recently as they are thought to mimic the processes of ecological patterning …

We investigate the many-particle and mean-field correspondence for a non-Hermitian N-
particle Bose-Hubbard dimer where a complex on-site energy describes an effective decay …

In this paper spatial dynamics of the Beddington-DeAngelis predator-prey model is
investigated. We analyze the linear stability and obtain the condition of Turing instability of …

In this paper we consider a modified spatiotemporal ecological system originating from the
temporal Holling–Tanner model, by incorporating diffusion terms. The original ODE system …

One of the central issues in ecology is the study of spatial pattern in the distribution of
organisms. Thus, in this paper, spatial pattern of a predator–prey system with predator …