In this article, we propose and analyse a predator-prey model where apart from direct
predation the prey population is affected by the fear induced from predators. The …

The article presents the solutions of Lotka–Volterra equations of fractional-order time
derivatives with the help of analytical method of nonlinear problem called the homotopy …

While biological controls have been successfully and frequently implemented by nature and
human, plausible mathematical models are yet to be found to explain the often observed …

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 …

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

Ratio-dependent predator–prey models are favoured by many animal ecologists recently as
they better describe predator–prey interactions where predation involves a searching …

Ratio-dependent predator-prey models are increasingly favored by both the theoretical and
experimental ecologists as a more suitable alternative to describe predator-prey interactions …

A stochastic ratio-dependent predator–prey model is investigated in this paper. By the
comparison theorem of stochastic equations and Itô's formula, we obtain the global …

This article explores a stochastic ratio-dependent predator-prey model with regime-
switching. We testify that the model admits a unique stationary distribution, and demonstrate …

The present investigation accounts for the influence of intra-specific competition among
predators in the original Beddington–DeAngelis predator–prey model. We offer a detailed …