OPTIMAL CONTROL ANALYSIS OF A HUMAN–BOVINE SCHISTOSOMIASIS MODEL
| Autor: | Shirley Abelman, Jean M. Tchuenche, P. M. Mwamtobe, S. Kadaleka |
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| Rok vydání: | 2021 |
| Předmět: |
0303 health sciences
Mathematical optimization Ecology Computer science Applied Mathematics 030231 tropical medicine Schistosomiasis General Medicine medicine.disease Optimal control Agricultural and Biological Sciences (miscellaneous) law.invention 03 medical and health sciences 0302 clinical medicine Transmission (mechanics) law medicine 030304 developmental biology |
| Zdroj: | Journal of Biological Systems. 29:1-26 |
| ISSN: | 1793-6470 0218-3390 |
| Popis: | We formulate and analyze a deterministic mathematical model for the transmission dynamics of schistosomiasis with treatment of both humans and bovines and mollu-sciciding of the contaminated environment. The model effective reproduction number is derived and analytical results show that the disease-free and endemic equilibria are both locally and globally asymptotically stable. Pontryagin’s Maximum Principle which uses both Lagrangian and Hamiltonian principles with respect to a time-dependent constant is used to establish the existence of the optimal control problem and to derive the necessary conditions for optimal control of the disease. Mollusciciding of the contaminated environment has a major impact on disease control. However, combining it with treatment could help mitigate the spread of the disease compared to applying each control measure individually. Numerical simulations are performed to support theoretical results. |
| Databáze: | OpenAIRE |
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