The interactions of diffusion-driven Turing instability and delayinduced Hopf bifurcation
always give rise to rich spatiotemporal dynamics. In this paper, we first derive the algorithm …

In this work we have considered a prey–predator model with strong Allee effect in the prey
growth function, Holling type-II functional response and density dependent death rate for …

Bifurcation analysis of a class of modified Leslie–Gower model with Allee effects in both
predator and prey species is given in detail. We show the existence of a heteroclinic …

Maturation time delay for the predators is introduced in prey–predator models to implicitly
model the stage-structure of predators. Most of the prey–predator models with maturation …

The effects of past activities of prey population on the dynamics of a predator–prey system
are explored by introducing a delayed carrying capacity of the prey. The delay-induced …

Stochastic differential models provide an additional degree of realism compared to their
corresponding deterministic counterparts because of the randomness and stochasticity of …

Allee effect is one of the important factors in ecology, and taking it into account can cause
significant impacts in the system dynamics. In this paper, we study the dynamics of a two …

In this paper, a fractional three-species food chain model is considered. The boundedness
of the solution of the fractional system has been proven. We analytically determine local and …

In this article, an eco-epidemiological model with strong Allee effect in prey population
growth is presented by a system of delay differential equations. The time lag in terms of the …

Most plant viral infections are vector-borne. There is a latent period of disease inside the
vector after obtaining the virus from the infected plant. Thus, after interacting with an infected …