In this paper, we consider a predator–prey model with herd behavior and cross-diffusion
subject to homogeneous Neumann boundary condition. Firstly, the existence and priori …

Fear can influence the overall population size of an ecosystem and an important drive for
change in nature. It evokes a vast array of responses spanning the physiology, morphology …

In this work, we have studied the spatiotemporal dynamics of a predator–prey model with
selective nonlinear saturated harvesting of both species. The study of the non-diffusive …

Recent demographic experiments have demonstrated that both birth and survival in free-
living animals are essentially affected due to having sufficient exposure to predators and …

Competitive behavior, like predation, widely exists in the world which has influences on the
dynamics of ecosystems. Though a good knowledge for the patten formation and selection …

A diffusive predator–prey system with Crowley–Martin functional response is considered.
Firstly, the maximal parameter region, where the coexistence equilibrium is stable, is …

Target wave and spiral wave can regulate the collective behaviors of electrical activities in
neuronal systems as a powerful 'pacemaker'. Disordered states occur when normal signal …

Prevailing theories in biological pattern formation, such as in morphogenesis or multicellular
structures development, have been based on purely chemical processes, with the Turing …

This paper deals with a very general case of predator-prey model called Gauss type model,
in the presence of cross-diffusion, where the existence of global solution has been shown …

This study focuses on the dynamics of exploited limited population with age structure and
compares dynamic modes of population models with and without exploitation while …