Global stability of a generalized epidemic model
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Publication:1043503
DOI10.1016/j.jmaa.2009.07.059zbMath1182.92062OpenAlexW1965912995MaRDI QIDQ1043503
Publication date: 9 December 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.07.059
Epidemiology (92D30) Stability in context of PDEs (35B35) Dynamical systems in biology (37N25) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)
Related Items (4)
Global stability of an SEIR epidemic model where empirical distribution of incubation period is approximated by Coxian distribution ⋮ A one-parameter family of stationary solutions in the susceptible-infected-susceptible epidemic model ⋮ Global analysis of multi-strains SIS, SIR and MSIR epidemic models ⋮ Existence and multiplicity of positive almost periodic solutions for a non-autonomous SIR epidemic model
Cites Work
- Unnamed Item
- Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality
- A competitive exclusion principle for pathogen virulence
- A theorem on average Liapunov functions
- Global stability of a delayed SIR epidemic model with density dependent birth and death rates
- Single-class orbits in nonlinear Leslie matrix models for semelparous populations
- Avian-human influenza epidemic model
- A unified approach to persistence
- Repellers in systems with infinite delay
- On the asymptotic behavior of solutions of certain non-autonomous differential equations
- The effects of females' susceptibility on the coexistence of multiple pathogen strains of sexually transmitted diseases
- To treat or not to treat: The case of tuberculosis
- Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size
- On the evolutionary coexistence of parasite strains
- On a basic model of a two-disease epidemic
- Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Permanence of host-parasitoid systems.
- Coexistence of pathogens in sexually-transmitted disease models
- Competition of pathogen strains leading to infection with variable infectivity and the effect of treatment
- Permanence of structured population models governed by ODEs and the basic reproduction number
- The Mathematics of Infectious Diseases
- Epidemiology and genetics in the coevolution of parasites and hosts
- Uniform Persistence and Repellors for Maps
- Competitive Exclusion and Coexistence of Multiple Strains in an SIS STD Model
- Competitive Exclusion in Gonorrhea Models and Other Sexually Transmitted Diseases
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