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A three-layered compartmental model of Nipah virus transmission with analysis | ||
| Journal of Mathematical Modeling | ||
| مقاله 13، دوره 13، شماره 2، مرداد 2025، صفحه 445-466 اصل مقاله (697.22 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.28949.2577 | ||
| نویسندگان | ||
| Hossien Gholami1؛ Mortaza Gachpazan1؛ Majid Erfanian* 2 | ||
| 1Department of Applied Mathematics, Faculty of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| 2Department of Science, School of Mathematical Sciences, University of Zabol, Zabol, Iran | ||
| چکیده | ||
| In this work, we have proposed a three-layered (fruit bat-to-fruit-to-human) compartmental model for the description of the spread of the Nipah virus. We have proved the positivity and boundedness of the model's solutions. The bounded nature of the answers also suggests that the disease spread process eventually reaches a steady state, which helps preventing unrealistic predictions. We have shown that a disease-free equilibrium point has local stability. Besides, the global stability of disease-free equilibrium point has been demonstrated with the help of a fluctuation lemma. We have fitted our model with the reported cases of infection and death in Bangladesh. From sensitivity analysis, we understand which parameters are more sensitive to change. Lastly, we have solved the model equations numerically utilizing the Runge-Kutta method to examine the effect of various parameters on the population of the model classes. | ||
| کلیدواژهها | ||
| Three-layered compartmental model؛ equilibria؛ stability؛ sensitivity analysis | ||
| مراجع | ||
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