Stability Analysis of a Vector‐Borne Disease with Variable Human Population

Muhammad Ozair, Abid Ali Lashari, Il Hyo Jung, Young Il Seo and Byul Nim Kim

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: A mathematical model of a vector‐borne disease involving variable human population is analyzed. The varying population size includes a term for disease‐related deaths. Equilibria and stability are determined for the system of ordinary differential equations. If R0 ≤ 1, the disease‐“free” equilibrium is globally asymptotically stable and the disease always dies out. If R0 > 1, a unique “endemic” equilibrium is globally asymptotically stable in the interior of feasible region and the disease persists at the “endemic” level. Our theoretical results are sustained by numerical simulations.

Date: 2013
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https://doi.org/10.1155/2013/293293

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:293293

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