The hunting cooperation of a predator under two prey's competition and fear-effect in the prey-predator fractional-order model

• DOI: 10.3934/math.2022303
• Publication Date: 2022-01-07T10:24:06Z
• Authors: Ali Yousef; ; Ashraf Adnan Thir...; Abdesslem Larmani...; Prabir Panja; Thabet Abdeljawad
• Keywords: caputo fractional order; QA1-939; predator-prey model; fear effect; stability; 0101 mathematics; neimark-sacker bifurcation; 01 natural sciences; Mathematics

<abstract><p>This paper investigates a fractional-order mathematical model of predator-prey interaction in the ecology considering fear prey, which is generated addition by competition two prey species, to predator that cooperation with its species hunt preys. At first, we show system has non-negative solutions. The existence and uniqueness established differential equation were proven using Lipschitz Criteria. In applying theory Routh-Hurwitz Criteria, determine stability equilibria based on specific conditions. discretization provides us information undergoes Neimark-Sacker Bifurcation. end, series numerical simulations are conducted verify theoretical part study authenticate effect fractional order our model's behavior.</p></abstract>