Dynamics of a Fractional-Order Eco-Epidemiological Model with Two Disease Strains in a Predator Population Incorporating Harvesting
In this paper, a fractional-order eco-epidemiological model with two disease strains in the predator population incorporating harvesting is formulated and analyzed. The model assumes that the population is divided into a prey population, a susceptible predator population, a predator population infec...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-01-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/14/1/53 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832589106612273152 |
|---|---|
| author | Moustafa El-Shahed Mahmoud Moustafa |
| author_facet | Moustafa El-Shahed Mahmoud Moustafa |
| author_sort | Moustafa El-Shahed |
| collection | DOAJ |
| description | In this paper, a fractional-order eco-epidemiological model with two disease strains in the predator population incorporating harvesting is formulated and analyzed. The model assumes that the population is divided into a prey population, a susceptible predator population, a predator population infected by the first disease, and a predator population infected by the second disease. A mathematical analysis and numerical simulations are performed to explain the dynamics and properties of the proposed fractional-order eco-epidemiological model. The positivity, boundedness, existence, and uniqueness of the solutions are examined. The basic reproduction number and some sufficient conditions for the existence of four equilibrium points are obtained. In addition, some sufficient conditions are proposed to ensure the local and global asymptotic stability of the equilibrium points. Theoretical results are illustrated through numerical simulations, which also highlight the effect of the fractional order. |
| format | Article |
| id | doaj-art-3b468a8a94384ea5a0680a5b1d6565ac |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-3b468a8a94384ea5a0680a5b1d6565ac2025-01-24T13:22:16ZengMDPI AGAxioms2075-16802025-01-011415310.3390/axioms14010053Dynamics of a Fractional-Order Eco-Epidemiological Model with Two Disease Strains in a Predator Population Incorporating HarvestingMoustafa El-Shahed0Mahmoud Moustafa1Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaDepartment of Computer Science, College of Engineering and Information Technology, Onaizah Colleges, Qassim 56447, Saudi ArabiaIn this paper, a fractional-order eco-epidemiological model with two disease strains in the predator population incorporating harvesting is formulated and analyzed. The model assumes that the population is divided into a prey population, a susceptible predator population, a predator population infected by the first disease, and a predator population infected by the second disease. A mathematical analysis and numerical simulations are performed to explain the dynamics and properties of the proposed fractional-order eco-epidemiological model. The positivity, boundedness, existence, and uniqueness of the solutions are examined. The basic reproduction number and some sufficient conditions for the existence of four equilibrium points are obtained. In addition, some sufficient conditions are proposed to ensure the local and global asymptotic stability of the equilibrium points. Theoretical results are illustrated through numerical simulations, which also highlight the effect of the fractional order.https://www.mdpi.com/2075-1680/14/1/53eco-epidemiological modellocal stabilityglobal stabilitynumerical simulations |
| spellingShingle | Moustafa El-Shahed Mahmoud Moustafa Dynamics of a Fractional-Order Eco-Epidemiological Model with Two Disease Strains in a Predator Population Incorporating Harvesting Axioms eco-epidemiological model local stability global stability numerical simulations |
| title | Dynamics of a Fractional-Order Eco-Epidemiological Model with Two Disease Strains in a Predator Population Incorporating Harvesting |
| title_full | Dynamics of a Fractional-Order Eco-Epidemiological Model with Two Disease Strains in a Predator Population Incorporating Harvesting |
| title_fullStr | Dynamics of a Fractional-Order Eco-Epidemiological Model with Two Disease Strains in a Predator Population Incorporating Harvesting |
| title_full_unstemmed | Dynamics of a Fractional-Order Eco-Epidemiological Model with Two Disease Strains in a Predator Population Incorporating Harvesting |
| title_short | Dynamics of a Fractional-Order Eco-Epidemiological Model with Two Disease Strains in a Predator Population Incorporating Harvesting |
| title_sort | dynamics of a fractional order eco epidemiological model with two disease strains in a predator population incorporating harvesting |
| topic | eco-epidemiological model local stability global stability numerical simulations |
| url | https://www.mdpi.com/2075-1680/14/1/53 |
| work_keys_str_mv | AT moustafaelshahed dynamicsofafractionalorderecoepidemiologicalmodelwithtwodiseasestrainsinapredatorpopulationincorporatingharvesting AT mahmoudmoustafa dynamicsofafractionalorderecoepidemiologicalmodelwithtwodiseasestrainsinapredatorpopulationincorporatingharvesting |