Spatiotemporal dynamics of a diffusive predator-prey system incorporating social behavior

Spatiotemporal dynamics of a diffusive predator-prey system incorporating social behavior

Blog Article

This research concerned with a new formulation of a spatial predator-prey model with Pokemon Leslie-Gower and Holling type II schemes in the presence of prey social behavior.The aim interest here is to distinguish the influence of Leslie-Gower term on the spatiotemporal behavior of the model.Interesting results are obtained as Hopf bifurcation, Turing bifurcation and Turing-Hopf bifurcation.

A rigorous mathematical analysis shows that the presence of Leslie-Gower can induce Turing pattern, which shows that this kind of interaction is very important in modeling different natural phenomena.The direction of Turing-Hopf bifurcation is studied with the help Gearbox Coupling of the normal form.The obtained results are tested numerically.