Abstract
In this article, a predator-prey mathematical model with toxicity, harvesting, and strong Allee effect has been developed. The proposed model has been analyzed analytically as well as numerically. We have examined the boundedness and positivity of the solutions for this proposed mathematical model. The parametric conditions for the existence of various feasible equilibrium points have been obtained. The local stability of these feasible equilibrium points is investigated. It has been shown that the proposed model depicts a saddle-node bifurcation. The parametric conditions for the existence of the bionomic equilibrium point has been investigated. Further, the problem of optimum harvesting policy has been investigated by means of the Pontryagins Maximum Principle. The phase portrait diagrams have been sketched to validate the analysis.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
