Malaysian Journal of Mathematical Sciences, December 2023, Vol. 17, No. 4
The Effect of Alternative Resource and Refuge on the Dynamical Behavior of Food Chain Model
Hadi, Z. M. and Bahlool, D. K.
Corresponding Email: dahlia.khaled@gmail.com
Received date: 3 October 2023
Accepted date: 4 December 2023
Abstract:
This article examines and proposes a dietary chain model with a prey shelter and alternative food sources. It is anticipated that mid-predators' availability is positively correlated with the number of refuges. The solution's existence and exclusivity are examined. It is established that the solution is bounded. It is explored whether all potential equilibrium points exist and are locally stable. The Lyapunov approach is used to investigate the equilibrium points' worldwide stability. Utilizing a Sotomayor theorem application, local bifurcation is studied. Numerical simulation is used to better comprehend the dynamics of the model and define the control set of parameters.
Keywords: food chain; refuge; alternative food; stability; Lyapunov method; bifurcation
Indexing
