We are concerned with a reaction-diffusion predator–prey model under homogeneous
Neumann boundary condition incorporating prey refuge (proportion of both the species) and …

The impacts of additional food for predator on the dynamics of a prey-predator model with
prey refuge are investigated. The equilibrium points and their stability behaviours are …

The present paper is dealt with a predator–prey model in which the growth of the prey
population is influenced by the Allee effect while the predator species are contended with …

The effect of induced fear in the prey due to the presence of a predator can alone develop
anti-predator resistance to such an extent that it might reduce the prey reproduction in a …

In this paper, a reaction-diffusion dynamic model with time delay is established under the
background of network rumors, and the behavior of susceptible users and infected users in …

In the realm of ecology, species naturally strive to enhance their own survival odds. This
study introduces and investigates a predator‐prey model incorporating reaction‐diffusion …

In the paper, to better understand the dynamic relationship between Microcystis aeruginosa
and filter-feeding fish, we have constructed a new aquatic ecological model to describe the …

The present study appertains to a reaction-diffusion system embracing two-dimensional
continuous Beddington-DeAngelis predator-prey model incorporating intra-specific …

A reaction–diffusion interacting species system with Beddington–DeAngelis functional
response that has been proposed in the environment of mathematical ecology, which …

In this paper, a three-dimensional dynamical model consisting of a prey, a mature predator,
and an immature predator is proposed and analysed. The interaction between prey and …