Optimal Harvesting of Three Species Intraguild Predation Model with Ratio-dependent Functional Response

Magudeeswaran, Subramani; Sivabalan, Muthurathinam; Yavuz, Mehmet; Singh, Dharmendra Kumar; Giridharan, Kannimuthu

doi:10.30473/coam.2025.75850.1343

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	Optimal Harvesting of Three Species Intraguild Predation Model with Ratio-dependent Functional Response
Control and Optimization in Applied Mathematics
مقاله 4، دوره 11، شماره 1 - شماره پیاپی 21، فروردین 2026، صفحه 73-99 اصل مقاله (1.24 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.30473/coam.2025.75850.1343
نویسندگان
Subramani Magudeeswaran¹؛ Muthurathinam Sivabalan²؛ Mehmet Yavuz^* ³^{، 4}؛ Dharmendra Kumar Singh⁵؛ Kannimuthu Giridharan¹
¹Department of Mathematics‎, ‎Sree Saraswathi Thyagaraja College‎, Pollachi‎, ‎Tamilnadu‎, ‎India
²Department of Mathematics‎, ‎Sri Ramakrishna Mission Vidyalaya College of Arts and Science‎, ‎Coimbatore‎, ‎Tamilnadu‎, ‎India
³Department of Mathematics and Computer Sciences‎, ‎Faculty of Science, Necmettin Erbakan University‎, ‎42090 Konya‎, ‎Turkiye
⁴Department of Applied Mathematics and Informatics‎, ‎Kyrgyz-Turkish Manas University‎, ‎Bishkek 720038‎, ‎Kyrgyzstan
⁵Department of Mathematics‎, ‎School of Basic Sciences‎, ‎CSJM University‎, ‎Kanpur‎, ‎India
چکیده
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.
تازه های تحقیق
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.
کلیدواژه‌ها
Local stability‎؛ ‎Hopf-bifurcation‎؛ ‎Intraguild predation‎؛ ‎Optimal harvesting

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Optimal Harvesting of Three Species Intraguild Predation Model with Ratio-dependent Functional Response