We establish the existence of traveling wave solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator–prey model with Holling type-III functional response. The analysis is in the three-dimensional phase space of the nonlinear ordinary differential equation system given by the diffusive predator– prey system in the traveling wave variable. ...

In this paper, we extend a Leslie–Gower-type predator–prey system with ratio-dependent Holling III functional response considering the cost of antipredator defence due to fear. We study impact fear effect on model, and find that many interesting dynamical properties model can occur when is present. Firstly, relationship between coefficient K positive equilibrium point introduced. Meanwhile, exi...

We present a Caputo fractional order mathematical model that describes the cellular infection of Hepatitis B virus and immune response body with Holling type II functional response. study existence unique positive solutions local global stability virus-free endemic equilibria. Finally, we numerical results using Adam-type predictor–corrector iterative scheme.

functional response in natural enemies is affected not only by host and natural enemy characteristics but also, the application of pesticide to pest population can affected the parameters of functional response as well as efficiency of natural enemy. in this research, the side effects of two pesticides, hexaflumuron and pymetrozin and also acaricide spirodiclofen and plant extracts, caiotropis ...

Abstract: In this paper, a delayed ratio-dependent eco-epidemiological model with Holling type III functional response and two time delays is investigated.By regarding the delay as the bifurcation parameter, local stability of each equilibrium is discussed at the endemic equilibrium. By analyzing the corresponding characteristic equations, the conditions for existence of Hopf bifurcation for th...

Intraguild predation (IGP) is a combination of competition and predation which is the most basic system in food webs that contains three species where two species that are involved in a predator/prey relationship are also competing for a shared resource or prey. We formulate two intraguild predation (IGP: resource, IG prey and IG predator) models: one has generalist predator while the other one...