In this paper, first we consider the global dynamics of a ratio-dependent predator–prey
model with density dependent death rate for the predator species. Analytical conditions for …

In this paper, we have investigated a diffusive predator–prey model with herd behavior. Also,
we considered that the mortality of predators is linear as well as quadratic. Using linear …

We analyze a ratio-dependent predator–prey model with Allee effect on the prey by making
a parametric analysis of the stability properties of the dynamics of the system in which the …

We develop a four dimensional predator-prey system in continuous time with stage-structure
for both the communities. The reproduction rate of the prey and the transition rate for the …

Spatio-temporal chaos is an intriguing part of the spatio-temporal pattern formation,
observed in many interacting population models when their heterogeneous distributions …

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 …

In this paper, we have investigated the effects of spatial diffusion in the pattern formation of a
predator–prey system with quadratic mortality rate of the predator in the presence of habitat …

Abstract The Turing and Turing-Hopf bifurcations of a Leslie-Gower type predator-prey
system with ratio-dependent Holling III functional response are investigated in this paper …

The present investigation deals with the analysis of the spatial pattern formation of a
diffusive predator–prey system with ratio-dependent functional response involving the …

In this paper, we study an interspecific density-dependent model of two species competing
on a single nutrient in a chemostat, taking into account the predator-prey relationship …