Stability analysis of harvested fractional-order prey-predator model with Holling type IV response

We consider a fractional-order prey-predator model with Holling type IV functional response and the effect of harvesting on both populations. The sufficient condition for the existence, uniqueness, non-negativity and boundedness of the solutions are discussed. Moreover, we found all possible equilibrium points and the local and global stability behavior are investigated. Finally, numerical results are presented with some examples.

کلیدواژه ها:

Caputo fractional dynamical system ، harvesting ، Stability analysis ، Holling type IV response