Global dynamics of a vector-borne disease model with infection ages and general incidence rates
type: Item
instance of: scholarly article
title: Global dynamics of a vector-borne disease model with infection ages and general incidence rates
zbMATH Open document ID: 1404.35463
author: Xia Wang
author: Shengqiang Liu
author: Yuming Chen
published in: Computational and Applied Mathematics
publication date: 2018-11-05T00:00:00Z
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35E99
Mathematics Subject Classification ID: 58J32
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 35L03
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 6973128
zbMATH Keywords: vector-borne disease model
zbMATH Keywords: infection age
zbMATH Keywords: general incidence rate
zbMATH Keywords: uniform persistence
zbMATH Keywords: fluctuation lemma
zbMATH Keywords: Lyapunov functional
MaRDI profile type: Publication
full work available at URL: s40314-017-0560-8
OpenAlex ID: W2778997357
Wikidata QID: Q57676447
cites work: Analysis of a mosquito-borne disease transmission model with vector stages and nonlinear forces of infection
cites work: Mathematical modeling of immunity to malaria
cites work: A mathematical model for assessing control strategies against West Nile virus
cites work: Global analysis of age-structured within-host virus model
cites work: A generalization of the Kermack-McKendrick deterministic epidemic model
cites work: Global analysis of an SIR epidemic model with infection age and saturated incidence
cites work: Patterns in the effects of infectious diseases on population growth
cites work: Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China
cites work: Competitive exclusion in a vector-host model for the dengue fever
cites work: Mathematical analysis of an age-structured model for malaria transmission dynamics
cites work: Global Stability for a Virus Dynamics Model with Nonlinear Incidence of Infection and Removal
cites work: Q4039920
cites work: The mathematics of infectious diseases
cites work: Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
cites work: A mathematical model for Chagas disease with infection-age-dependent infectivity
cites work: Global asymptotic properties of virus dynamics models with dose-dependent parasite reproduction and virulence and non-linear incidence rate
cites work: Global properties of infectious disease models with nonlinear incidence
cites work: Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients
cites work: Existence result for an age-structured SIS epidemic model with spatial diffusion
cites work: Mathematical modelling of mosquito dispersal in a heterogeneous environment
cites work: Global dynamics of vector-borne diseases with horizontal transmission in host population
cites work: ANALYSIS OF A VECTOR-HOST MALARIA MODEL WITH IMPULSIVE EFFECT AND INFECTION-AGE
cites work: Describing the geographic spread of dengue disease by traveling waves
cites work: Lyapunov functional and global asymptotic stability for an infection-age model
cites work: Lyapunov functions and global stability for SIR and SEIR models with age-dependent suscepti\-bility
cites work: A mathematical model for endemic malaria with variable human and mosquito populations
cites work: Dynamical behavior of a vector-host epidemic model with demographic structure
cites work: The effect of incidence function in backward bifurcation for malaria model with temporary immunity
cites work: On the delayed Ross-Macdonald model for malaria transmission
cites work: Q3066573
cites work: Uniform persistence and permanence for non-autonomous semiflows in population biology
cites work: A mathematical model for the dynamics of malaria in a human host and mosquito vector with temporary immunity
cites work: Global analysis of an infection age model with a class of nonlinear incidence rates
cites work: Global analysis of a delayed vector-bias model for malaria transmission with incubation period in mosquitoes
cites work: Age-dependency in host-vector models: the global analysis
cites work: Age-Structured Within-Host HIV Dynamics with Multiple Target Cells
cites work: Dynamics of an age‐structured host‐vector model for malaria transmission
cites work: SVIR epidemic model with age structure in susceptibility, vaccination effects and relapse
cites work: The dynamics of an SVIR epidemiological model with infection age
cites work: Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence
DOI: 10.1007/S40314-017-0560-8
description: scientific article; zbMATH DE number 6973128