Dynamical study of a chaotic predator-prey model with an omnivore
Abdelwahab, A Al-Khedhairi, AA Elsadany, A Elsonbaty, AG . 2018
In this paper, the dynamics and bifurcations of a three-species predator-prey model with an omnivore are further investigated. The food web considered in this work comprises prey, predator and a third species, which consumes the carcasses of the predator along with predation of the original prey. The conditions for existence, uniqueness and continuous dependence on initial conditions for the solution of the model are derived. Analytical and numerical bifurcation studies reveal that the system undergoes transcritical and Hopf bifurcations around its equilibrium points. Further, the Hopf bifurcation curves in the parameters’ space along with codimension two bifurcations of equilibrium points and bifurcation of limit cycles that arise in the system are investigated. In particular, the occurrence of generalized Hopf, fold Hopf and Neimarck-Sacker bifurcations is unveiled and illustrates the rich dynamics of the model
This paper introduces an attempt to investigate the complex dynamics of a nonlinear duopoly game of players (firms) adopting prices as their decision variables. Two different models are introduced…
In this paper, we give a proper investigation of the problem of remanufacturing duopoly game. A smooth piecewise map is introduced to describe such game. A rich analysis either analytical or…
Memory effects play a critical role in complex immune systems. In this paper, the recent efficient and realistic Atangana–Baleanu fractional order derivative, with non-local and non-singular…