Transmission dynamics of onchocerciasis with two classes of infection and saturated treatment function

作     者：Amos Sesan Idowu Oluwatayo Michael Ogunmiloro 

作者机构：Department of MathematicsFaculty of Physical Science University of IlorinIlorinKwara StateNigeria Department of MathematicsFaculty of Science Ekiti State UniversityAdo-EkitiEkiti StateNigeria Oluwatayo Michael 

出 版 物：《International Journal of Modeling, Simulation, and Scientific Computing》 (建模、仿真和科学计算国际期刊（英文）)

年 卷 期：2020年第11卷第5期

页      面：184-207页

核心收录：

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

主　　题：Onchocerciasis saturated treatment function basic reproduction number stability analysis 

摘      要：A mathematical model describing the epidemic interactions between humans and blackflies in the transmission of onchocerciasis is *** this model,the onchocerciasis infected human individuals are divided into two classes of infected humans with high and low microfilarial output incorporating saturated treatment function,which caters for high saturation of onchocerciasis *** analyze the model feasible region and obtain the basic reproduction number(R_(hb))using the next generation matrix ***,we obtain the onchocerciasis-free and onchocerciasis endemic equilibrium solutions and show that if R_(hb) is less than unity,the onchocerciasis-free equilibrium is locally and globally asymptotically ***,we employed a Lyapunov function to analyze the global asymptotic stability of the onchocerciasis—endemic equilibrium whenever Rhb is greater than *** addition,data on mass drug distribution of ivermectin drug to combat onchocerciasis prevalence in Ekiti state of Nigeria were fitted to the *** results reveal that consistent annual or bi-annual distribution of ivermectin drug in the region is effective in reducing the disease *** simulations also show that public health control measures are needed to minimize infectious contact between humans and blackflies which leads to onchocerciasis infections and visual blindness.