Fractional Lotka–Volterra equations by fractional reduced differential transform method

Abstract

The Lotka–Volterra model arising in biology for simulating interactions between two species is considered in the paper with fractional order derivatives in Caputo sense. Two cases of the model are solved numerically using fractional reduced differential transform method (FRDTM). In both the cases, the predator and prey populations are computed for different fractional orders, over a range of time and absolute errors are studied for integer order. The results are presented in the form of tables and graphs depicting accuracy of the FRDTM and its agreement with the model’s dynamics.

Keywords

• Caputo fractional derivative
• Fractional differential equations
• Fractional reduced differential transform method
• Lotka–Volterra model