Modelling herd behavior of prey: analysis of a prey-predator model∗
نویسندگان
چکیده
In this paper, a prey-predator model with a social activity of prey population has been analyzed. In some ecological situations, the prey-predator interaction occurs only at the outer surface of a herd formed by prey population. To model this phenomenon, the square root of prey density has been used in the functional response. The basic model is formulated with this modified functional response. A steady-state analysis has been performed. Mathematical analysis including effect of time-delay is presented. Numerical computations are carried out to validate the analytical findings. Biological implications of the analytical and numerical findings are discussed critically.
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