STABILIZATION IN A CHEMOTAXIS MODEL FOR VIRUS INFECTION

被引：58

作者：

Bellomo, Nicola ^{[1
,2
]}

Tao, Youshan ^{[3
]}

机构：

[1] Politecn Torino, Corso Duca Abruzzi 24, I-10129 Turin, Italy

[2] Coll Carlo Alberto, Turin, Italy

[3] Donghua Univ, Dept Appl Math, Shanghai 200051, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2020年 / 13卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Virus infection model; chemotaxis; global existence; asymptotic stability; SUPERINFECTING VIRIONS; POPULATION-DYNAMICS; BOUNDEDNESS; REPULSION; DIFFUSION; SYSTEM;

D O I：

10.3934/dcdss.2020006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a qualitative analysis of a model describing the time and space dynamics of a virus which migrates driven by chemotaxis. The initial-boundary value problem related to applications of the model to a real biological dynamics is studied in detail. The main result consists in the proof of global existence and asymptotic stability.

引用

页码：105 / 117

页数：13

共 38 条

[1] NON-LINEAR PHENOMENA IN HOST-PARASITE INTERACTIONS [J].

ANDERSON, RM ;

MAY, RM ;

GUPTA, S .

PARASITOLOGY, 1989, 99 :S59-S79

[2]

[Anonymous], 2006, Exploring the Equations of Life

[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] From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid [J].

Bellomo, N. ;

Bellouquid, A. ;

Chouhad, N. .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2016, 26 (11) :2041-2069

[5] A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up [J].

Bellomo, Nicola ;

Winkler, Michael .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2017, 42 (03) :436-473

[6] Virus dynamics and drug therapy [J].

Bonhoeffer, S ;

May, RM ;

Shaw, GM ;

Nowak, MA .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1997, 94 (13) :6971-6976

[7] Flux-saturated porous media equations and applications [J].

Calvo, J. ;

Campos, J. ;

Caselles, V. ;

Sanchez, O. ;

Soler, J. .

EMS SURVEYS IN MATHEMATICAL SCIENCES, 2015, 2 (01) :131-218

[8] The effects of distributed life cycles on the dynamics of viral infections [J].

Campos, Daniel ;

Mendez, Vicenc ;

Fedotov, Sergei .

JOURNAL OF THEORETICAL BIOLOGY, 2008, 254 (02) :430-438

[9] MODEL FOR TROPHIC INTERACTION [J].

DEANGELIS, DL ;

GOLDSTEIN, RA ;

ONEILL, RV .

ECOLOGY, 1975, 56 (04) :881-892

[10]

Diekmann O., 2000, Mathematical epidemiology of infectious diseases: Model building, analysis and interpretation, VVolume 5

← 1 2 3 4 →