1Department of Mathematics, Periyar University, Salem-636011, India
2Department of Mathematics, Bharathiar University, Coimbatore-641046, India
*E-mail: *sambathbu2010@gmail.com
In this work we introduce a fractional-order stage structure prey-predator model with Crowley-Martin type functional response. First we prove the existence, uniqueness, non-negativity and boundedness of the solutions of a fractional-order dynamical system. Further we discuss the local and global stability of all feasible equilibrium points of the system. Finally numerical simulations are provided to illustrate the theory.
2020 Mathematics Subject Classification: 26A33, 34D20, 34D23, 37N25.
Boundedness, Existence and uniqueness, Fractional dynamical system, Stability, Prey-predator model
