Epidemiological models with varying population size and dose-dependent latent period

DOI10.1016/0025-5564(94)00067-AzbMath0832.92023OpenAlexW2169109672WikidataQ47351428 ScholiaQ47351428MaRDI QIDQ1901144

Wei-min Liu, Pauline van den Driessche

Publication date: 5 November 1995

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(94)00067-a

zbMATH Keywords

Hopf bifurcationSEIRS modeltemporary immunitydose-dependent latent periodSEIS modelstable endemic valuevariable-size population

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Algorithmic methods for investigating equilibria in epidemic modeling ⋮ Global dynamics of an SEI model with acute and chronic stages ⋮ The Basic Reproduction Number of an Infectious Disease in a Stable Population: The Impact of Population Growth Rate on the Eradication Threshold ⋮ Deciding Hopf bifurcations by quantifier elimination in a software-component architecture ⋮ Diseases with chronic stage in a population with varying size

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A competitive exclusion principle for pathogen virulence
• On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). I: Single population models
• Population models for diseases with no recovery
• Using mathematical models to understand the AIDS epidemic
• Dynamic models of infectious diseases as regulators of population sizes
• Disease transmission models with density-dependent demographics
• Modeling and analyzing HIV transmission: The effect of contact patterns
• Criterion of Hopf bifurcations without using eigenvalues
• Dose-dependent latent period and periodicity of infectious diseases
• A disease transmission model in a nonconstant population
• Demography and epidemics
• Analysis of a disease transmission model in a population with varying size
• A problem in the theory of epidemics
• A problem in the theory of epidemics. II
• The equations of growth

This page was built for publication: Epidemiological models with varying population size and dose-dependent latent period