A Complex Dynamic of an Eco-Epidemiological Mathematical Model with Migration
In this paper, we propose an eco-epidemiological mathematical model in order to describe the effect of migration on the dynamics of a prey–predator population. The functional response of the predator is governed by the Holling type II function. First, from the perspective of mathematical results, we...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2024/3312472 |
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| author | Assane Savadogo Boureima Sangaré Wendkouni Ouedraogo |
| author_facet | Assane Savadogo Boureima Sangaré Wendkouni Ouedraogo |
| author_sort | Assane Savadogo |
| collection | DOAJ |
| description | In this paper, we propose an eco-epidemiological mathematical model in order to describe the effect of migration on the dynamics of a prey–predator population. The functional response of the predator is governed by the Holling type II function. First, from the perspective of mathematical results, we develop results concerning the existence, uniqueness, positivity, boundedness, and dissipativity of solutions. Besides, many thresholds have been computed and used to investigate the local and global stability results by using the Routh–Hurwitz criterion and Lyapunov principle, respectively. We have also established the appearance of limit cycles resulting from the Hopf bifurcation. Numerical simulations are performed to explore the effect of migration on the dynamic of prey and predator populations. |
| format | Article |
| id | doaj-art-3fca4dd5c11f42b293773106bc54a81c |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3fca4dd5c11f42b293773106bc54a81c2025-02-03T06:14:53ZengWileyAbstract and Applied Analysis1687-04092024-01-01202410.1155/2024/3312472A Complex Dynamic of an Eco-Epidemiological Mathematical Model with MigrationAssane Savadogo0Boureima Sangaré1Wendkouni Ouedraogo2Jacques-Louis Lions Laboratory (LJLL)Laboratory of MathematicsLaboratory of MathematicsIn this paper, we propose an eco-epidemiological mathematical model in order to describe the effect of migration on the dynamics of a prey–predator population. The functional response of the predator is governed by the Holling type II function. First, from the perspective of mathematical results, we develop results concerning the existence, uniqueness, positivity, boundedness, and dissipativity of solutions. Besides, many thresholds have been computed and used to investigate the local and global stability results by using the Routh–Hurwitz criterion and Lyapunov principle, respectively. We have also established the appearance of limit cycles resulting from the Hopf bifurcation. Numerical simulations are performed to explore the effect of migration on the dynamic of prey and predator populations.http://dx.doi.org/10.1155/2024/3312472 |
| spellingShingle | Assane Savadogo Boureima Sangaré Wendkouni Ouedraogo A Complex Dynamic of an Eco-Epidemiological Mathematical Model with Migration Abstract and Applied Analysis |
| title | A Complex Dynamic of an Eco-Epidemiological Mathematical Model with Migration |
| title_full | A Complex Dynamic of an Eco-Epidemiological Mathematical Model with Migration |
| title_fullStr | A Complex Dynamic of an Eco-Epidemiological Mathematical Model with Migration |
| title_full_unstemmed | A Complex Dynamic of an Eco-Epidemiological Mathematical Model with Migration |
| title_short | A Complex Dynamic of an Eco-Epidemiological Mathematical Model with Migration |
| title_sort | complex dynamic of an eco epidemiological mathematical model with migration |
| url | http://dx.doi.org/10.1155/2024/3312472 |
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