A Mathematical Model About Predator-Prey Holling Type-II Effect of Fading Memory - A Mathematical Approach
Journal Title: International Journal of Engineering and Science Invention - Year 2018, Vol 7, Issue 5
Abstract
In this research article, we proposed a predator-prey model with fading memory for Holling type-II functional response is developed. The fading memory term is used with the hypothesis that the predator growth rate at present depends on the recent past quantities of prey. The effects of predator harvesting are also considered in the model. The model is analysed theoretically as well as numerically. One parameter bifurcation analysis is done; bifurcation points are identified. Maximum sustainable yield with respect to harvesting effort is also determined. Numerical simulation of the nonlinear model has confirmed our analytical studies. It is observed that the system dynamics is very rich in presence of fading memory. The obtained results may be useful in the field of fishery and agriculture.
Authors and Affiliations
Jayanta Mondal
Keywords
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