Title : 
Dynamic analysis for hybrid AIDS model via differential inclusions
         
        
            Author : 
Zhang, Jine ; Zhu, Xusheng ; Zeng, Yu
         
        
            Author_Institution : 
Sch. of Basic Sci., East China Jiaotong Univ., Nanchang, China
         
        
        
        
        
        
            Abstract : 
This paper is concerned with the dynamic analysis for a class of hybrid AIDS model via differential inclusions. Conditions on the local stability and uniform persistence are derived, respectively. These conditions act as significant values for the qualitative analysis of the disease. Finally, the effectiveness of the derived theoretical results are illustrated by two numerical examples.
         
        
            Keywords : 
differential equations; diseases; stability; differential inclusion; disease qualitative analysis; dynamic analysis; hybrid AIDS model; local stability; numerical examples; uniform persistence; Analytical models; Asymptotic stability; Computational modeling; Human immunodeficiency virus; Mathematical model; Stability analysis;
         
        
        
        
            Conference_Titel : 
Information Science and Technology (ICIST), 2012 International Conference on
         
        
            Conference_Location : 
Hubei
         
        
            Print_ISBN : 
978-1-4577-0343-0
         
        
        
            DOI : 
10.1109/ICIST.2012.6221609