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Existence and optimal harvesting of two competing species in a polluted environment with pollution reduction effect | ||
| Journal of Mathematical Modeling | ||
| مقاله 13، دوره 9، شماره 4، اسفند 2021، صفحه 517-536 اصل مقاله (1.5 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.18266.1573 | ||
| نویسندگان | ||
| Simon Derkee Zawka* 1؛ Diwakara Narasimha Srinivasu Pichika2 | ||
| 1Department of Mathematics, College of Natural and Computational Sciences, Arba Minch University, Ethiopia | ||
| 2Sri Sathya Sai University for Human Excellence, Gulbarga, India | ||
| چکیده | ||
| This paper deals with the existence and optimal harvesting of two competing species in a polluted environment under the influence of pollution reduction effort. We propose and analyze a nonlinear system wherein harvesting and pollution reduction activities, respectively, are incorporated into the resource and pollution dynamic equations. We investigate the coexistence, competitive exclusion, and extinction of both species in the system. Further, considering pollution-dependent revenues, we study an optimal harvest problem on an infinite horizon. The results indicate that the extinction of both species is inevitable when pollutant inflow is sufficiently large. Otherwise, the proper effort allocation towards pollution reduction guarantees not only species coexistence but also improves the revenue. The significant outcomes of the study are verified by considering practical examples. | ||
| کلیدواژه‌ها | ||
| Competition؛ Pollutants؛ Harvesting؛ Pollution reduction؛ Effort Allocation | ||
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آمار تعداد مشاهده مقاله: 994 تعداد دریافت فایل اصل مقاله: 1,146 |
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