检索规则说明:AND代表“并且”;OR代表“或者”;NOT代表“不包含”;(注意必须大写,运算符两边需空一格)
检 索 范 例 :范例一: (K=图书馆学 OR K=情报学) AND A=范并思 范例二:J=计算机应用与软件 AND (U=C++ OR U=Basic) NOT M=Visual
作 者:Auwal Abdullahi Mohd Hafiz Mohd
机构地区:[1]Department of Mathematics and Computer Science Federal University Kashere,Nigeria [2]School of Mathematical Sciences,Universiti Sains Malaysia 11800 USM,Pulau Pinang,Malaysia
出 处:《International Journal of Biomathematics》2024年第4期267-285,共19页生物数学学报(英文版)
基 金:support from the Fundamental Research Grant Scheme with Project Code:FRGS/1/2022/STG06/USM/02/1 by the Ministry of Higher Education,Malaysia(MOHE).
摘 要:Though vaccination protects individuals against many infectious diseases,such protection does not always last forever since a few vaccinated individuals could lose their lifelong immunity and eventually become infected.This study,therefore,determines the effects of imperfect vaccination and memory index on the spread of diseases through the Caputo fractional-order SIRV(Susceptible-Infected-Recovered-Vaccinated)epidemic model.Vital properties of the new model including the conditions for the existence of a unique solution determined through the fixed-point theory and the conditions for the existence of a positive solution of the model obtained via the Mittag-Leffler function along with the Laplace transformation-are thoroughly studied.Consequently,our simulation results report that an increase in the imperfect vaccination force increases the population of infected individuals.For the memory effect,the higher“memory”the epidemic system has of past states(which corresponds to decreasing values of fractionalorder parameter),the greater the peaks and magnitudes of infection shaping the epidemiological system dynamics.
关 键 词:Vaccination model fractional-order model Caputo fractional-order derivative Mittag-Leffer function fixed-point theory
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在链接到云南高校图书馆文献保障联盟下载...
云南高校图书馆联盟文献共享服务平台 版权所有©
您的IP:216.73.216.63