In this investigation, we offer and examine a predator–prey interacting model with prey
refuge in proportion to both the species and Beddington–DeAngelis functional response. We …

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 …

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

Vegetation patterns can reflect vegetation's spatial distribution in space and time. The
saturated water absorption effect between the soil–water and vegetation plays a crucial role …

An appropriate mathematical structure to describe the population dynamics is given by the
partial differential equations of reaction–diffusion type. The spatiotemporal dynamics and …

In this paper, we establish a predator–prey model with Beddington–Deangelis functional
response. For this model, firstly, the existence of the positive equilibrium point and the …

The contemporary study copes with a generalist predator–prey model with nonlinear cross-
diffusion embracing prey refuge in proportion to both the species along with the ratio …

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 …

Vegetation pattern generated by aeolian sand movements is a typical type of vegetation
pattern in arid and semi-arid areas. Considering the effects of sand movements on …

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