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This paper investigates a dynamical predator-prey interaction model thatincorporates: (a) hunting cooperation among predators; (b) Allee effect inprey. We show all possible boundary and interior solutions. In order to analyzethe stability of the solution, we make use of the Jacobian matrix and theresultant characteristic polynomial. Particularly, the sign of the eigenvalueis used to determine the stability of a solution. We then provide proof forstability of the interior solution. Finally, we verify our results numericallyin MATLAB by plotting: (1) predator-prey intersection graphs; (2) prey-predatorvs hunting cooperation graphs; (3) initial condition trajectory for equilibriumsolution. It is interesting to notice that hunting cooperation can switch thestability of coexistence equilibrium solutions. Through numerical simulations,it was verified that increasing the hunting cooperation could lead to theextinction of both prey and predator population for alpha greater than 0.96,given our choice of parameters.

Predator-Prey Interaction Model with Hunting Cooperation among Predators and Allee Effect in Prey