[图书][B] Dynamical modeling and analysis of epidemics

Z Ma, J Li - 2009 - books.google.com
This timely book covers the basic concepts of the dynamics of epidemic disease, presenting
various kinds of models as well as typical research methods and results. It introduces the …

Evaluating the importance of within-and between-host selection pressures on the evolution of chronic pathogens

D Coombs, MA Gilchrist, CL Ball - Theoretical population biology, 2007 - Elsevier
Infectious pathogens compete and are subject to natural selection at multiple levels. For
example, viral strains compete for access to host resources within an infected host and, at …

[HTML][HTML] Mathematical investigation of a two-strain disease model with double dose vaccination control policies

SK Tithi, AK Paul, MA Kuddus - Results in Physics, 2023 - Elsevier
Antimicrobial resistance (AMR) is the microorganism's resistance to an antimicrobial drug
developed and designed to handle an infection. A recent study showed that there were 1.27 …

Hopf bifurcation for non-densely defined Cauchy problems

Z Liu, P Magal, S Ruan - Zeitschrift für angewandte Mathematik und Physik, 2011 - Springer
In this paper, we establish a Hopf bifurcation theorem for abstract Cauchy problems in which
the linear operator is not densely defined and is not a Hille–Yosida operator. The theorem is …

Global stability in a viral infection model with lytic and nonlytic immune responses

K Wang, W Wang, X Liu - Computers & Mathematics with Applications, 2006 - Elsevier
This paper investigates the global stability of a viral infection model with lytic and nonlytic
immune responses. If the basic reproductive ratio of the virus is less than or equal to one, by …

[HTML][HTML] Global stability of an SVEIR epidemic model with ages of vaccination and latency

X Duan, S Yuan, Z Qiu, J Ma - Computers & Mathematics with Applications, 2014 - Elsevier
The vaccination period (ie, the time period retaining acquired immunity following
vaccination) and the latent period are two important factors affecting disease dynamics …

Global stability analysis of two-strain epidemic model with bilinear and non-monotone incidence rates

IA Baba, E Hincal - The European Physical Journal Plus, 2017 - Springer
In this article we studied an epidemic model consisting of two strains with different types of
incidence rates; bilinear and non-monotone. The model consists of four equilibrium points …

Analysis of stability and bifurcation for an SEIV epidemic model with vaccination and nonlinear incidence rate

X Zhou, J Cui - Nonlinear Dynamics, 2011 - Springer
In this paper, an SEIV epidemic model with vaccination and nonlinear incidence rate is
formulated. The analysis of the model is presented in terms of the basic reproduction …

[HTML][HTML] A game-theoretic modeling approach to comprehend the advantage of dynamic health interventions in limiting the transmission of multi-strain epidemics

M Alam, J Tanimoto - Journal of Applied Mathematics and Physics, 2022 - scirp.org
In the situation of inadequate vaccines and rapid mutation of virulent strains, alternative
health interventions play a crucial role in the containment of emerging epidemics. This study …

A non-autonomous multi-strain SIS epidemic model

M Martcheva - Journal of biological dynamics, 2009 - Taylor & Francis
In this paper we consider a non-autonomous multi-strain SIS epidemic model with periodic
coefficients. Reproduction numbers and invasion reproduction numbers are derived which …