Dynamics of Predator-Prey Model Interaction with Harvesting Effort
In this research, we study and construct a dynamic prey-predator model. We include an element of intraspecific competition in both predators. We formulated the Holling type I response function for each predator. We consider all populations to be of economic value so that they can be harvested. We an...
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Department of Mathematics, UIN Sunan Ampel Surabaya
2020
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oai:doaj.org-article:f49d63ab339a4db0bc1db784408b4ce62021-12-02T17:38:35ZDynamics of Predator-Prey Model Interaction with Harvesting Effort2527-31592527-316710.15642/mantik.2020.6.2.93-103https://doaj.org/article/f49d63ab339a4db0bc1db784408b4ce62020-10-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/1043https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167In this research, we study and construct a dynamic prey-predator model. We include an element of intraspecific competition in both predators. We formulated the Holling type I response function for each predator. We consider all populations to be of economic value so that they can be harvested. We analyze the positive solution, the existence of the equilibrium points, and the stability of the balance points. We obtained the local stability condition by using the Routh-Hurwitz criterion approach. We also simulate the model. This research can be developed with different response function formulations and harvest optimization.Muhammad IkbalRiskawatiDepartment of Mathematics, UIN Sunan Ampel Surabayaarticleprey-predator; intraspecific; harvesting; routh-hurwitzMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 6, Iss 2, Pp 93-103 (2020) |
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DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
prey-predator; intraspecific; harvesting; routh-hurwitz Mathematics QA1-939 |
| spellingShingle |
prey-predator; intraspecific; harvesting; routh-hurwitz Mathematics QA1-939 Muhammad Ikbal Riskawati Dynamics of Predator-Prey Model Interaction with Harvesting Effort |
| description |
In this research, we study and construct a dynamic prey-predator model. We include an element of intraspecific competition in both predators. We formulated the Holling type I response function for each predator. We consider all populations to be of economic value so that they can be harvested. We analyze the positive solution, the existence of the equilibrium points, and the stability of the balance points. We obtained the local stability condition by using the Routh-Hurwitz criterion approach. We also simulate the model. This research can be developed with different response function formulations and harvest optimization. |
| format |
article |
| author |
Muhammad Ikbal Riskawati |
| author_facet |
Muhammad Ikbal Riskawati |
| author_sort |
Muhammad Ikbal |
| title |
Dynamics of Predator-Prey Model Interaction with Harvesting Effort |
| title_short |
Dynamics of Predator-Prey Model Interaction with Harvesting Effort |
| title_full |
Dynamics of Predator-Prey Model Interaction with Harvesting Effort |
| title_fullStr |
Dynamics of Predator-Prey Model Interaction with Harvesting Effort |
| title_full_unstemmed |
Dynamics of Predator-Prey Model Interaction with Harvesting Effort |
| title_sort |
dynamics of predator-prey model interaction with harvesting effort |
| publisher |
Department of Mathematics, UIN Sunan Ampel Surabaya |
| publishDate |
2020 |
| url |
https://doaj.org/article/f49d63ab339a4db0bc1db784408b4ce6 |
| work_keys_str_mv |
AT muhammadikbal dynamicsofpredatorpreymodelinteractionwithharvestingeffort AT riskawati dynamicsofpredatorpreymodelinteractionwithharvestingeffort |
| _version_ |
1718379858287919104 |