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Mathematical modelling of intraguild predation and its dynamics of resource harvesting | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 71، دوره 13، شماره 2، مهر 2022، صفحه 837-861 اصل مقاله (2.83 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26067.3215 | ||
| نویسندگان | ||
| Santabrata Chakravarty* ؛ Lakshmi Narayan Guin؛ Samiran Ghosh | ||
| Department of Mathematics, Visva-Bharati, Santiniketan-731 235, West Bengal, India | ||
| تاریخ دریافت: 07 بهمن 1400، تاریخ بازنگری: 10 فروردین 1401، تاریخ پذیرش: 23 فروردین 1401 | ||
| چکیده | ||
| The contemporary theoretical inquest concerns itself with an updated mathematical model involving intraguild (IG) predation in which the IG predator acts as a generalist predator with the inclusion of harvesting in the resource population. Due attention is paid to the positivity and boundedness of the outcomes of the system under consideration. All the conceivable ecologically feasible equilibria are explored for their existence and stability under certain conditions. Special emphasis is put forward on the consequence of harvesting for the present model system. The occurrences of Hopf-bifurcation with respect to harvesting parameters involved in the harvesting effort of the model system are captured. The subsistence of the possible bionomic equilibria is, however, not ruled out from the present pursuit. The optimal harvesting policy is initiated and duly carried out with Pontryagin’s maximum principle. Numerical simulations are performed towards the end to comply with the objectives of the agreement of the numerical outcomes with their analytical counterparts and the applicability of the model is validated thereby. | ||
| کلیدواژهها | ||
| Asymmetric intraguild predation؛ Resource harvesting؛ Generalist predator؛ Optimal harvesting؛ Hopf-bifurcation | ||
| مراجع | ||
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