Malaysian Journal of Mathematical Sciences, March 2024, Vol. 18, No. 1
Dynamical Analysis of Stochastic Predator-prey Model with Scavenger
Prasad, S. N. and Kumar, I.
Corresponding Email: kumaritendra@gmail.com
Received date: 12 October 2023
Accepted date: 11 December 2023
Abstract:
In this paper, we studied the dynamic properties of predator-prey and scavenger three species system by using ergodic invariant measures. Pengyu Ma. find the five points of dynamical bifurcation of the stochastic model, which happened between extinction and survival of each species. Environmental noise was added and proved by the fact that driving force produced by environmental noise influence the system and it was find that system may extinct or partially extinct. Here, we have analysed the stochastic bifurcation phenomena of the prey-predator with scavenger system from the nature of dynamic bifurcation. The phase plots and time diagram plotted for the different values of parameters. We have verified all the results by numerical simulations.
Keywords: stochastic dynamical bifurcation; invariant sets; stochastic process; Lyapunov exponents; ergodic invariant probability measures
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