M. F. Elettreby1, 2, *, Tamer Nabil1, 3, A. Khawagi4
CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.3, pp. 907-921, 2020, DOI:10.32604/cmes.2020.08664
Abstract In this paper, a discrete Lotka-Volterra predator-prey model is proposed that
considers mixed functional responses of Holling types I and III. The equilibrium points of
the model are obtained, and their stability is tested. The dynamical behavior of this model
is studied according to the change of the control parameters. We find that the complex
dynamical behavior extends from a stable state to chaotic attractors. Finally, the analytical
results are clarified by some numerical simulations. More >