In this paper, we study an ecological model of a three-space food chain consists of two logically growing mutual species and third species acts as a predator to second mutual species with Holling type II functional response. This model is constituted by a system of nonlinear decoupled ordinary differential equations. By using perturbed method, we identify the nature of the system at each equilibrium point and also global stability is investigated for this model using Lypanov function at the possible equilibrium points.
On an Ecological Model of Mutualisim Between Two Species With a Mortal Predator,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 15,
2, Article 35.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss2/35