Competitive exclusion and coexistence in a two-strain pathogen model with diffusion
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Publication:746537
DOI10.3934/mbe.2016.13.1zbMath1326.92064OpenAlexW2407224114WikidataQ50733093 ScholiaQ50733093MaRDI QIDQ746537
Keng Deng, Azmy S. Ackleh, Yixiang Wu
Publication date: 16 October 2015
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2016.13.1
basic reproduction numbercoexistencecompetitive exclusionheterogeneous environmenthomogeneous environmentmultiple-strain pathogen model
Related Items (8)
Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism ⋮ Coexistence of competing species for intermediate dispersal rates in a reaction-diffusion chemostat model ⋮ Mathematical analysis of the dynamics of some reaction-diffusion models for infectious diseases ⋮ Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion ⋮ Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period ⋮ Control strategies for a multi-strain epidemic model ⋮ Impact of population size and movement on the persistence of a two-strain infectious disease ⋮ A diffusive SIS epidemic model incorporating the media coverage impact in the heterogeneous environment
Cites Work
- Unnamed Item
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- 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
- Loops and branches of coexistence states in a Lotka--Volterra competition model
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Dynamics of an SIS reaction-diffusion epidemic model for disease transmission
- Global stability of the steady states of an SIS epidemic reaction-diffusion model
- Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
- Geometric theory of semilinear parabolic equations
- An application of the invariance principle to reaction diffusion equations
- The effects of females' susceptibility on the coexistence of multiple pathogen strains of sexually transmitted diseases
- The dynamics of cocirculating influenza strains conferring partial cross-immunity
- Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size
- The dynamics of two viral infections in a single host population with applications to hantavirus.
- Convergence in competition models with small diffusion coefficients
- Ecological models, permanence and spatial heterogeneity
- Robust uniform persistence and competitive exclusion in a nonautonomous multi-strain SIR epidemic model with disease-induced mortality
- Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
- On the effects of migration and spatial heterogeneity on single and multiple species
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- A non-autonomous multi-strain SIS epidemic model
- Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion
- Positive solutions of a class of biological models in a heterogeneous environment
- Competing Species near a Degenerate Limit
- Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
- Competitive Exclusion in Gonorrhea Models and Other Sexually Transmitted Diseases
- Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
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