Numerical Analysis for the Effect of Irresponsible Immigrants on HIV/AIDS Dynamics

作     者：Muhammad Tariq Ali Dumitru Baleanu Muhammad Rafiq Jan Awrejcewicz Nauman Ahmed Ali Raza Muhammad Sajid Iqbal Muhammad Ozair Ahmad 

作者机构：Department of MathematicsBarani Institute of SciencesBurewalaPakistan Department of MathematicsCankaya UniversityBalgatAnkara06530Turkey Department of Medical ResearchChina Medical UniversityTaichung40402Taiwan Institute of Space SciencesMagurele-Bucharest077125Romania Department of MathematicsFaculty of SciencesUniversity of Central PunjabLahore54000Pakistan Department of AutomationBiomechanics and MechatronicsLodz University of Technology1/15 Stefanowskiego St.90-924 LodzPoland Department of Mathematics and StatisticsUniversity of LahoreLahore54590Pakistan Department of MathematicsGovt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan H&BSMCSNational University of Science and Technology(NUST)H-12IslamabadHumayun RoadRawalpindi46000Pakistan 

出 版 物：《Intelligent Automation & Soft Computing》 (智能自动化与软计算（英文）)

年 卷 期：2023年第36卷第5期

页      面：1479-1496页

核心收录：

学科分类：1004[医学-公共卫生与预防医学(可授医学、理学学位)] 100401[医学-流行病与卫生统计学] 10[医学] 

主　　题：SIR model existence analysis numerical methods stability analysis 

摘      要：The human immunodeficiency viruses are two species of Lentivirus that infect *** time,they cause acquired immunodeficiency syndrome,a condition in which progressive immune system failure allows life-threatening opportunistic infections and cancers to *** immunodeficiency virus infection came from a type of chimpanzee in Central *** show that immunodeficiency viruses may have jumped from chimpanzees to humans as far back as the late *** decades,human immunodeficiency viruses slowly spread across Africa and later into other parts of the *** Susceptible-Infected-Recovered(SIR)models are significant in studying disease *** this paper,we have studied the effect of irresponsible immigrants on HIV/AIDS dynamics by formulating and considering different ***,Runge Kutta,and a Non-standardfinite difference(NSFD)method are developed for the same *** experiments are performed at disease-free and endemic equilibria points at different time step sizes‘ℎ’.The results reveal that,unlike Euler and Runge Kutta,which fail for large time step sizes,the proposed Non-standardfinite difference(NSFD)method gives a convergence solution for any time step *** proposed numerical method is bounded,dynamically con-sistent,and preserves the positivity of the continuous solution,which are essential requirements when modeling a prevalent disease.