Document Type : Research Article
Authors
- Subramani Magudeeswaran 1
- Muthurathinam Sivabalan 2
- Mehmet Yavuz 3, 4
- Dharmendra Kumar Singh 5
- Kannimuthu Giridharan 1
1 Department of Mathematics, Sree Saraswathi Thyagaraja College, Pollachi, Tamilnadu, India
2 Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India
3 Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, 42090 Konya, Turkiye
4 Department of Applied Mathematics and Informatics, Kyrgyz-Turkish Manas University, Bishkek 720038, Kyrgyzstan
5 Department of Mathematics, School of Basic Sciences, CSJM University, Kanpur, India
10.30473/coam.2025.75850.1343
Abstract
In this study, we fabricate and investigate a three-species intraguild predation model with a ratio-dependent functional response. We also incorporate harvesting efforts into both intraguild prey and intraguild predators. Then, we analyze the dynamical behavior of the proposed model by taking the harvesting rate as the bifurcation parameter. We precisely outline the prerequisites for the proposed model's existence, stability, and bifurcation near the equilibrium points. It contributes to a better understanding of the impacts of harvesting on the survival or extinction of one or more species in the proposed model. Furthermore, we derive the suggested model's bionomic equilibrium and optimum harvesting policy by using the \textit{Pontryagin's maximum principle}. Finally, we provide some numerical simulations to validate the analytical results. In addition, we give some graphical representations to validate our results.
Highlights
- Introduces a three-species intraguild predation model with a ratio-dependent functional response and independent harvesting on intraguild prey and predators.
- Derived conditions for existence and local stability of equilibria; harvesting rates act as bifurcation parameters, yielding Hopf and transcritical bifurcations.
- Harvesting intensity governs the balance between coexistence and extinction; moderate harvesting promotes stability.
- Derived bioeconomic equilibrium and established conditions for a positive, sustainable state.
- Obtain explicit optimal harvesting efforts via Pontryagin’s Maximum Principle, ensuring sustainability and maximal net profit within control bounds.
Keywords
Main Subjects
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