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.
Karthikeyan,S , Ramesh,P and Sambath,M . (2023). Stability analysis of harvested fractional-order prey-predator model with Holling type IV response. International Journal of Nonlinear Analysis and Applications, 14(1), 2019-2030. doi: 10.22075/ijnaa.2022.27700.3685
MLA
Karthikeyan,S , , Ramesh,P , and Sambath,M . "Stability analysis of harvested fractional-order prey-predator model with Holling type IV response", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 2019-2030. doi: 10.22075/ijnaa.2022.27700.3685
HARVARD
Karthikeyan S, Ramesh P, Sambath M. (2023). 'Stability analysis of harvested fractional-order prey-predator model with Holling type IV response', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 2019-2030. doi: 10.22075/ijnaa.2022.27700.3685
CHICAGO
S Karthikeyan, P Ramesh and M Sambath, "Stability analysis of harvested fractional-order prey-predator model with Holling type IV response," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 2019-2030, doi: 10.22075/ijnaa.2022.27700.3685
VANCOUVER
Karthikeyan S, Ramesh P, Sambath M. Stability analysis of harvested fractional-order prey-predator model with Holling type IV response. IJNAA. 2023;14(1):2019-2030. doi: 10.22075/ijnaa.2022.27700.3685
International Journal of Nonlinear Analysis and Applications