scholarly journals Global dynamics of an age-structured malaria model with prevention

2019 ◽  
Vol 16 (3) ◽  
pp. 1625-1653 ◽  
Author(s):  
Zhong-Kai Guo ◽  
◽  
Hai-Feng Huo ◽  
Hong Xiang ◽  
Keyword(s):  
Global Dynamics ◽  
Age Structured ◽  
Malaria Model

Global stability of an age-structured SVEIR epidemic model with waning immunity, latency and relapse

2017 ◽  
Vol 10 (03) ◽  
pp. 1750038 ◽  
Author(s):  
Lili Liu ◽  
Xianning Liu
Keyword(s):  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Epidemic Model ◽  
Uniform Persistence ◽  
Global Dynamics ◽  
Sharp Threshold ◽  
Age Dependent ◽  
Waning Immunity ◽  
Age Structured ◽  
Disease Free

The global dynamics of an SVEIR epidemic model with age-dependent waning immunity, latency and relapse are studied. Sharp threshold properties for global asymptotic stability of both disease-free equilibrium and endemic equilibrium are given. The asymptotic smoothness, uniform persistence and the existence of interior global attractor of the semi-flow generated by a family of solutions of the system are also addressed. Furthermore, some related strategies for controlling the spread of diseases are discussed.

scholarly journals Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 2993
Author(s):  
Xin Jiang
Keyword(s):  
Theoretical Analysis ◽  
Mathematical Analysis ◽  
Local Stability ◽  
Infection Model ◽  
Global Behavior ◽  
Uniform Persistence ◽  
Global Dynamics ◽  
Infection Rates ◽  
Age Structured ◽  
Rigorous Mathematical Analysis

This paper studies the global dynamics of a cholera model incorporating age structures and general infection rates. First, we explore the existence and point dissipativeness of the orbit and analyze the asymptotical smoothness. Then, we perform rigorous mathematical analysis on the existence and local stability of equilibria. Based on the uniform persistence, we further investigate the global behavior of the cholera infection model. The results of theoretical analysis are well confirmed by numerical simulations. This research generalizes some known results and provides deeper insights into the dynamics of cholera propagation.

Global dynamics in an age-structured HIV model with humoral immunity

2021 ◽  
pp. 2150047
Author(s):  
Zhongzhong Xie ◽  
Xiuxiang Liu
Keyword(s):  
Differential Equations ◽  
Humoral Immunity ◽  
Reproduction Number ◽  
Global Dynamics ◽  
Hiv Model ◽  
Infection Age ◽  
Number Formula ◽  
Infected Cells ◽  
Age Structured ◽  
Disease Free

In this paper, we formulate an age-structured HIV model, in which the influence of humoral immunity and the infection age of the infected cells are considered. The model is governed by three ordinary differential equations and two first-ordered partial differential equations and admits three equilibria: disease-free, immune-inactivated and immune-activated equilibria. We introduce two important thresholds: the basic reproduction number [Formula: see text] and immune-activated reproduction number [Formula: see text] and further show the global stability of above three equilibria in terms of [Formula: see text] and [Formula: see text], respectively. The numerical simulations are presented to illustrate our results.

Analysis of an Age-Structured Malaria Model Incorporating Infants and Pregnant Women

2019 ◽  
Vol 30 (4) ◽  
pp. 1-21
Author(s):  
George Theodore Azu-Tungmah ◽  
Francis T. Oduro ◽  
Gabriel A. Okyere
Keyword(s):  
Pregnant Women ◽  
Age Structured ◽  
Malaria Model

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

2018 ◽  
Vol 11 (05) ◽  
pp. 1850065 ◽  
Author(s):  
Khalid Hattaf ◽  
Yu Yang
Keyword(s):  
Viral Infection ◽  
Infection Model ◽  
Uniform Persistence ◽  
Global Dynamics ◽  
Incidence Function ◽  
Proposed Model ◽  
Viral Particles ◽  
Age Structured ◽  
Well Posed ◽  
Viral Infection Model

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.

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