Deterministic and Stochastic Schistosomiasis Models with General Incidence

作     者：Stanislas Ouaro Ali Traoré 

作者机构：Laboratoire d’Analyse Mathématique des Equations (LAME) Unité de Formation et de Recherche en Sciences Exactes et Appliquées Département de Mathématiques Ouagadougou Burkina Faso 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2013年第4卷第12期

页      面：1682-1693页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Computational Simulation General Incidence Reproduction Number Schistosomiasis Model Stochastic Differential Equation 

摘      要：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 asymptotically stable if R0 ?and the unique endemic equilibrium is globally asymptotically stable when R0 ?1. The populations are computationally simulated under various conditions. Comparisons are made between the deterministic and the stochastic model.