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

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

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This research concerned with a new formulation of a spatial predator-prey model with Leslie-Gower and Holling type II schemes in the presence of prey social behavior.The aim interest here is to distinguish Mantel Clock 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 Clothing natural phenomena.The direction of Turing-Hopf bifurcation is studied with the help of the normal form.

The obtained results are tested numerically.