| A numerical study of the formation of spatial patterns in two spotted spider mites (2009) | |||||||||||||||
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| The aim of this paper is to study the formation of spatial patterns in a predator-prey system with Tetranychus urticaeas prey and Phytoseiulus persimilisas predator. Logistic Lotka-Volterrapredator-prey equations are solved numerically with two different response functions, two initial conditions and one dataset. The spatial patterns are generated by introducing diffusion-driven instability in the predator-prey system. Among all parameters involved in predator-prey equations, only the predator interference parameter is varied to generate diffusion-driven instability leading to spatial patterns of population density. Spatial patterns are further generated with the inclusion of prey-tax is in the predator-prey system. Routh-Hurwitz's conditions for stability are used to create instability with prey-tax is in the system. It is shown that it is possible to generate spatial patterns with zero flux boundary conditions even in a smaller domain with a suitable value of the predator interference parameter or prey-taxis. | |||||||||||||||
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