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Deterministic and Stochastic Schistosomiasis Models with General Incidence
Laboratoire d’Analyse Mathématique des Equations (LAME), Unité de Formation et de Recherche en Sciences Exactes et Appliquées, Département de Mathématiques, Ouagadougou, Burkina Faso
Laboratoire d’Analyse Mathématique des Equations (LAME), Unité de Formation et de Recherche en Sciences Exactes et Appliquées, Département de Mathématiques, Ouagadougou, Burkina Faso
- 1 Laboratoire d’Analyse Mathématique des Equations (LAME), Unité de Formation et de Recherche en Sciences Exactes et Appliquées, Département de Mathématiques, Ouagadougou, Burkina Faso
- 2 Laboratoire d’Analyse Mathématique des Equations (LAME), Unité de Formation et de Recherche en Sciences Exactes et Appliquées, Département de Mathématiques, Ouagadougou, Burkina Faso
Applied Mathematics·Volume 04 (2013)·Pages 1682–1693·Published 8 November 2013·DOI10.4236/am.2013.412229
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Abstract
In this paper , deterministic and stochastic models for schistosomiasis involving four sub-populations are developed. Conditions are given under which system exhibits thresholds behavior. The disease-free equilibrium is globally asymp totically stable if R 0 < 1 and the unique endemic equilibrium is globally asymptotically stable when R 0 > 1. The populations are computationally simulated under various conditions. Comparisons are made between the deterministic and the stochastic model.
KeywordsComputational SimulationGeneral IncidenceReproduction NumberSchistosomiasis ModelStochastic Differential Equation
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