Full Delay Logistic Population Model with Sustainable Harvesting
The paper studies the dynamics of a full delay-logistic population model incorporated with a proportionate harvesting function. The study discusses the stability of the model in comparison with the well-known Hutchinson logistic growth equation with harvesting function using the rate of harvesting a...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/6777827 |
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| _version_ | 1849414528197984256 |
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| author | Martin Anokye Elvis Kobina Donkoh Michael Fosu Ofori Agnes Adom-Konadu |
| author_facet | Martin Anokye Elvis Kobina Donkoh Michael Fosu Ofori Agnes Adom-Konadu |
| author_sort | Martin Anokye |
| collection | DOAJ |
| description | The paper studies the dynamics of a full delay-logistic population model incorporated with a proportionate harvesting function. The study discusses the stability of the model in comparison with the well-known Hutchinson logistic growth equation with harvesting function using the rate of harvesting as a bifurcation parameter to determine sustainable harvesting rate even at a bigger time delay of τ=3.00. In all cases, the Hutchinson equation with harvesting was forced to converge to equilibrium using an additional and a different time delay parameter, a deficiency previous researchers have failed to address when the Hutchinson model is used for this purpose. The population fluctuations are catered for with this model making the estimated maximum sustainable growth and harvest reflect realities as this model drastically reduces time-delay associated oscillations compared to the well-known Hutchinson delayed logistic models. The numerical simulations were be done using the MatLab Software. |
| format | Article |
| id | doaj-art-72f2eaca32e8475695a7b337ec265154 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-72f2eaca32e8475695a7b337ec2651542025-08-20T03:33:49ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/6777827Full Delay Logistic Population Model with Sustainable HarvestingMartin Anokye0Elvis Kobina Donkoh1Michael Fosu Ofori2Agnes Adom-Konadu3Department of MathematicsDepartment of Maths and StatisticsDepartment of Statistical SciencesDepartment of MathematicsThe paper studies the dynamics of a full delay-logistic population model incorporated with a proportionate harvesting function. The study discusses the stability of the model in comparison with the well-known Hutchinson logistic growth equation with harvesting function using the rate of harvesting as a bifurcation parameter to determine sustainable harvesting rate even at a bigger time delay of τ=3.00. In all cases, the Hutchinson equation with harvesting was forced to converge to equilibrium using an additional and a different time delay parameter, a deficiency previous researchers have failed to address when the Hutchinson model is used for this purpose. The population fluctuations are catered for with this model making the estimated maximum sustainable growth and harvest reflect realities as this model drastically reduces time-delay associated oscillations compared to the well-known Hutchinson delayed logistic models. The numerical simulations were be done using the MatLab Software.http://dx.doi.org/10.1155/2022/6777827 |
| spellingShingle | Martin Anokye Elvis Kobina Donkoh Michael Fosu Ofori Agnes Adom-Konadu Full Delay Logistic Population Model with Sustainable Harvesting Journal of Applied Mathematics |
| title | Full Delay Logistic Population Model with Sustainable Harvesting |
| title_full | Full Delay Logistic Population Model with Sustainable Harvesting |
| title_fullStr | Full Delay Logistic Population Model with Sustainable Harvesting |
| title_full_unstemmed | Full Delay Logistic Population Model with Sustainable Harvesting |
| title_short | Full Delay Logistic Population Model with Sustainable Harvesting |
| title_sort | full delay logistic population model with sustainable harvesting |
| url | http://dx.doi.org/10.1155/2022/6777827 |
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