Document Type : Research Paper

Authors

• S. Karthikeyan ¹
• P. Ramesh ²
• M. Sambath ¹

¹ Department of Mathematics, Periyar University, Salem 636 011, India

² Department of Mathematics, Easwari Engineering College, Chennai 600 089, India

Abstract

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.

Keywords

• Caputo fractional dynamical system
• Harvesting
• Stability analysis
• Holling type IV response