Fear effect on a delayed intraguild predation model with the ratio-dependent functional response

Magudeeswaran, S.; Vinoth, S.; Sathiyanathan, K.; Chaisena, Kantapon

doi:10.22075/ijnaa.2022.27109.3502

Fear effect on a delayed intraguild predation model with the ratio-dependent functional response

Document Type : Research Paper

Authors

S. Magudeeswaran ¹

S. Vinoth ²

K. Sathiyanathan ³

Kantapon Chaisena ⁴

¹ Department of Mathematics, Sree Saraswathi Thyagaraja College, Coimbatore, 642107, Tamilnadu, India

² Department of Computer Science, KGiSL Institute of Information Management, Coimbatore 641035, Tamilnadu, India

³ Department of Mathematics, SRMV College of Arts and Science, Coimbatore 641020, Tamilnadu, India

⁴ Department of Mathematics, Phuket Rajabhat University, Phuket, 83000, Thailand

10.22075/ijnaa.2022.27109.3502

Abstract

In this work, we explore the consequences of fear and time delay on the intraguild predation model. Also, the predator consumes its prey in the form of a ratio-dependent type of interaction. We consider the fear in the prey population and the gestation effect on the predator population. We analyze the existence and the local stability of the proposed model without delay near all non-negative equilibrium points. Furthermore, by taking the fear parameter, the condition to satisfy the existence of Hopf-bifurcation near the coexisting equilibrium is derived. Moreover, we also examine the local stability property and Hopf-bifurcation investigation for the corresponding model in the presence of time delay. Some simulation results were also done to support the primary analytical findings.

Keywords

Fear effect

Hopf-bifurcation

Intraguild predation

Local stability

Time delay