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http://repository.futminna.edu.ng:8080/jspui/handle/123456789/11513| Title: | STABILITY ANALYSIS OF THE DISEASE FREE EQUILIBRIUM STATE AND SENSITIVITY ANALYSIS OF PARAMETERS WITH RESPECT TO THE BASIC REPRODUCTIVE NUMBER OF A DETERMINISTIC MODEL OF LASSA FEVER |
| Authors: | Enagi, Abdullah Idris Muhammed, Ismail |
| Keywords: | Lassa Fever Equilibrium State Stability Analysis Sensitivity Analysis Basic Reproductive Number |
| Issue Date: | Mar-2020 |
| Publisher: | Sub-Saharan African Academic Research and Publications, Journal of African Sustainable Development. |
| Citation: | Enagi A. I. and Muhammed, I (2020) STABILITY ANALYSIS OF THE DISEASE FREE EQUILIBRIUM STATE AND SENSITIVITY ANALYSIS OF PARAMETERS WITH RESPECT TO THE BASIC REPRODUCTIVE NUMBER OF A DETERMINISTIC MODEL OF LASSA FEVER |
| Series/Report no.: | 15 (2);31-49 |
| Abstract: | In this study, we carry out the stability analysis of the disease free equilibrium state and sensitivity analysis of parameters with respect to the basic reproductive number of the model presented in (Enagi and Muhammed, 2019).The disease-free equilibrium state is stable if and R0є (R0H,R0R) ˂ 1 otherwise unstable. We also analyzed the global stability of the disease-free-equilibrium using Castillo-Chavez, Feng and Huang approach. The result shows that the disease-free-equilibrium state is also globally asymptotically stable. The most sensitive parameters to the humans' basic reproduction number are the natural birth rate, Λ1 and contact rate β, while the most sensitive parameters to the rodents' basic reproduction number are the natural birth rate, Λ2 and contact rate, λ. |
| URI: | http://repository.futminna.edu.ng:8080/jspui/handle/123456789/11513 |
| ISSN: | 2115-4255 |
| Appears in Collections: | Mathematics |
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