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Stability Analysis and Stochastic SI Modelling of Endemic Diseases
Pan Africa University Institute of Basic Sciences, Technology and Innovation, Nairobi, Kenya
- 1 Pan Africa University Institute of Basic Sciences, Technology and Innovation, Nairobi, Kenya
Advances in Pure Mathematics·Volume 08 (2018)·Pages 516–534·Published 9 May 2018·DOI10.4236/apm.2018.85030
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Abstract
In this paper, we study a stochastic epidemic model in Meta-population setting. The stochastic model is obtained from the deterministic model by set up random perturbations about the endemic equilibrium state. The outcome of random perturbations on the stability actions of endemic equilibrium is discussed. Stability of the two equilibriums is studied using the Lyapunov function.
KeywordsMeta-PopulationBasic Reproduction RatioLyapunov FunctionPositive Equilibrium
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