Deterministic and Stochastic Schistosomiasis Models with General Incidence

• 作者: Ali Traoré Stanislas Ouaro
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Computational Simulation General INCIDENCE Reproduction Number SCHISTOSOMIASIS Model STOCHASTIC Differential Equation
• 年，卷（期）: yysxyw_2013,（12）
• 页码范围: 1682-1693
• 页数: 12页
• 分类号: O1

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.