A co-infection model for HPV and syphilis with optimal control and cost-effectiveriess analysis

作     者：A.Omame D.Okuonghae U.E.Nwafor B.U.Odionyenna 

作者机构：Department of Mathematics Federal University of TechnologyOwerriNigeriai Department of MathematicsUniversity of Benin Benin CityNigeria 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2021年第14卷第7期

页      面：1-44页

核心收录：

学科分类：1002[医学-临床医学] 100214[医学-肿瘤学] 10[医学] 

主　　题：Human papillomavirus syphilis co-infection optimal control cost-effectiveness analysis 

摘      要：A co-infection model for human papillomavirus(HPV)and syphilis with cost-effectiveness optimal control analysis is developed and *** full co-infectionmodel is shown to undergo the phenomenon of backward bifurcation when a certain con-dition is *** global asymptotic stability of the disease-free equilibrium of thefull model is shown not to exist when the associated reproduction number is less *** existence of endemic equilibrium of the syphilis-only sub-model is shown toexist and the global asymptotic stability of the disease-free and endemic equilibria of thesyphilis-only sub-model was established,for a special *** analysis is alsocarried out on the parameters of the *** the syphilis associated reproductionnumber,R_(0s),as the response function,it is observed that the five-ranked parametersthat drive the dynamics of the co-infection model are the demographic parameter μ,the efective contact rate for syphilis transmission,β_(s),the progression rate to late stage ofsyphilis σ2,and syphilis treatment rates:τ1 and τ2 for co-infected individuals in com-partments Hi and Hl,***,when the HPV associated reproductionnumber,R0h,is used as the response function,the five most dominant parameters thatdrive the dynamics of the model are the demographic parameter μ,the effective contactrate for HPV transinission,β_(h),the fraction of HPV infected who develop persistent HPV p1,the fraction of individuals vaccinated against incident HPV infection φ and the HPVvaccine eflicacy π*** simulations of the optimal control model showed that theoptimal control strategy which implements syphilis treatment controls for singly infectedindividuals is the most cost-effective of all the control strategies in reducing the burdenof HPV and syphilis co-infections.