Dynamical Analysis for the Prey-Predator Model in Beddington De-Angelis Type Functional Response with Prey Refuge
摘要
Analysing the prey-predator model is the purpose of this paper. In Beddington De-Angelis-type interactions, the predator consumes its prey. For the model, first we analyse some mathematical results like the positivity of solutions and the boundedness of solutions. Next, we examine whether any possible non-negative equilibrium points exist and local stability. Additionally, we examine the suggested model using the prey refuge’s Hopf-bifurcation and global stability analysis. To emphasise our key analytical conclusions, we show some numerical simulation results at the end.