Computational Analysis of Prey-Predator Model with Fear and Toxic Factors by Fractional Operator

Abstract

This work suggests a prey-predator model influenced by poi- sonous compounds and the impacts of fear. We demonstrated the model solution’s uniqueness using the Lipschitz condition and its boundedness using the Laplace transform. We chose Yang-Abdel-Cattani derivative to analyze the system. Fi- nally, numerical simulation is used to validate the theoretical results. The results suggest that both population size and presence of poisoned matter exert a noteworthy influence on system’s solidity. Additionally, the value of α is shown to impact the stability of the system as well.