Global dynamics of an age-structured viral infection model with general incidence function and absorption

被引:17
作者
Hattaf, Khalid [1 ]
Yang, Yu [2 ]
机构
[1] CRMEF, Casablanca 20340, Morocco
[2] Zhejiang Int Studies Univ, Sch Sci & Thchnol, Hangzhou 310023, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Age of infection; general incidence function; global stability; WITHIN-HOST; STABILITY ANALYSIS; EPIDEMIC MODEL; HIV-INFECTION; NONLINEAR INCIDENCE; INTERFERENCE;
D O I
10.1142/S1793524518500651
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we propose an age-structured viral infection model with general incidence function that takes account of the loss of viral particles due to their absorption into susceptible cells. The proposed model is described by partial differential and ordinary differential equations. We first show that the model is mathematically and biologically well-posed. Furthermore, the uniform persistence and the global behavior of the model are investigated. Moreover, the age-structured models and results presented in many previous studies are improved and generalized.
引用
收藏
页数:18
相关论文
共 44 条
[1]  
Adnani J., 2013, INT J STOCHAST ANAL, V2013
[2]  
Adnani J., 2016, APPL MATH SCI, P301
[3]   MUTUAL INTERFERENCE BETWEEN PARASITES OR PREDATORS AND ITS EFFECT ON SEARCHING EFFICIENCY [J].
BEDDINGTON, JR .
JOURNAL OF ANIMAL ECOLOGY, 1975, 44 (01) :331-340
[4]  
Browne C, 2016, MATH BIOSCI ENG, V13, P887, DOI [10.3034/mbe.2016022, 10.3934/mbe.2016022]
[5]   GLOBAL ANALYSIS OF AGE-STRUCTURED WITHIN-HOST VIRUS MODEL [J].
Browne, Cameron J. ;
Pilyugin, Sergei S. .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (08) :1999-2017
[6]   FUNCTIONAL-RESPONSES AND INTERFERENCE WITHIN AND BETWEEN YEAR CLASSES OF A DRAGONFLY POPULATION [J].
CROWLEY, PH ;
MARTIN, EK .
JOURNAL OF THE NORTH AMERICAN BENTHOLOGICAL SOCIETY, 1989, 8 (03) :211-221
[7]   MODEL FOR TROPHIC INTERACTION [J].
DEANGELIS, DL ;
GOLDSTEIN, RA ;
ONEILL, RV .
ECOLOGY, 1975, 56 (04) :881-892
[8]   AN AGE-STRUCTURED WITHIN-HOST MODEL FOR MULTISTRAIN MALARIA INFECTIONS [J].
Demasse, Ramses Djidjou ;
Ducrot, Arnaud .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2013, 73 (01) :572-593
[9]   PERSISTENCE IN INFINITE-DIMENSIONAL SYSTEMS [J].
HALE, JK ;
WALTMAN, P .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (02) :388-395
[10]  
Hale JK., 1988, Asymptotic Behavior of Dissipative Systems