This article investigates a fractional-order predator-prey model incorporating prey refuge and anti-predator behaviour on predator species. For our proposed model, we prove the existence, uniqueness, non-negativity and boundedness of solutions. Further, all biologically possible equilibrium points and their stability analysis for the proposed system are carried out with the linearization process. Moreover, by using an appropriate Lyapunov function, the global stability of the co-existence equilibrium point is studied. Finally, we provide numerical simulations to demonstrate how the theoretical approach is consistent.
Karthikeyan, S., Ramesh, P., & Sambath, M. (2023). Stability analysis of fractional-order predator-prey model with anti-predator behaviour and prey refuge. Journal of Mathematical Modeling, 11(3), 527-546. doi: 10.22124/jmm.2023.23604.2107
MLA
Subramaniyam Karthikeyan; Perumal Ramesh; Muniyagounder Sambath. "Stability analysis of fractional-order predator-prey model with anti-predator behaviour and prey refuge". Journal of Mathematical Modeling, 11, 3, 2023, 527-546. doi: 10.22124/jmm.2023.23604.2107
HARVARD
Karthikeyan, S., Ramesh, P., Sambath, M. (2023). 'Stability analysis of fractional-order predator-prey model with anti-predator behaviour and prey refuge', Journal of Mathematical Modeling, 11(3), pp. 527-546. doi: 10.22124/jmm.2023.23604.2107
VANCOUVER
Karthikeyan, S., Ramesh, P., Sambath, M. Stability analysis of fractional-order predator-prey model with anti-predator behaviour and prey refuge. Journal of Mathematical Modeling, 2023; 11(3): 527-546. doi: 10.22124/jmm.2023.23604.2107
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