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

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

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 , the disease-“free†equilibrium is globally asymptotically stable and the disease always dies out. If , 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.

Suggested Citation

  • Muhammad Ozair & Abid Ali Lashari & Il Hyo Jung & Young Il Seo & Byul Nim Kim, 2013. "Stability Analysis of a Vector-Borne Disease with Variable Human Population," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, April.
    • Handle: RePEc:hin:jnlaaa:293293
    DOI: 10.1155/2013/293293
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