Traveling wave solutions in a two-group SIR epidemic model with constant recruitment
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Publication:1633941
DOI10.1007/s00285-018-1227-9zbMath1406.35445OpenAlexW2789477870WikidataQ88127971 ScholiaQ88127971MaRDI QIDQ1633941
Zhi-Cheng Wang, Lin Zhao, Shigui Ruan
Publication date: 21 December 2018
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-018-1227-9
time delaytraveling wave solutionsbasic reproduction numberconstant recruitmenttwo-group epidemic model
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07)
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Cites Work
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- Traveling waves for a nonlocal dispersal SIR model with delay and external supplies
- The effect of population heterogeneities upon spread of infection
- Traveling waves in a nonlocal dispersal Kermack-McKendrick epidemic model
- The size of epidemics in populations with heterogeneous susceptibility
- Damped oscillating traveling waves of a diffusive SIR epidemic model
- Asymptotic speed of propagation and traveling wavefronts for a SIR epidemic model
- Stability of differential susceptibility and infectivity epidemic models
- Global threshold property in an epidemic model for disease with latency spreading in a heterogeneous host population
- On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry
- Travelling wave solutions in multigroup age-structured epidemic models
- Spreading speed and traveling waves for a multi-type SIS epidemic model
- Traveling waves for a diffusive SIR model with delay
- Stefan problem, traveling fronts, and epidemic spread
- On the spread of epidemics in a closed heterogeneous population
- Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain
- Elliptic partial differential equations of second order
- Heterogeneity in susceptibility to infection can explain high reinfection rates
- Traveling waves in a delayed SIR epidemic model with nonlinear incidence
- A core group model for disease transmission
- Diffusion epidemic models with incubation and crisscross dynamics
- Impact of heterogeneity on the dynamics of an SEIR epidemic model
- Existence of traveling wave solutions for influenza model with treatment
- Traveling waves of a delayed diffusive SIR epidemic model
- On the effect of population heterogeneity on dynamics of epidemic diseases
- Interaction of diffusion and delay
- Differential susceptibility epidemic models
- Differential susceptibility and infectivity epidemic models
- Traveling waves for a nonlocal dispersal SIR model with standard incidence
- A two-strain epidemic model with mutant strain and vaccination
- Traveling waves of the spread of avian influenza
- Global Dynamics of a General Class of Multistage Models for Infectious Diseases
- Traveling Waves for a Model of a Fungal Disease over a Vineyard
- Travelling wave solutions for an infection-age structured epidemic model with external supplies
- Hyperbolic travelling fronts
- Singular Perturbation Analysis of Travelling Waves for a Model in Phytopathology
- Heterogeneity in epidemic models and its effect on the spread of infection
- Traveling wave fronts in a diffusive epidemic model with multiple parallel infectious stages
- A diffusive system with age dependency modeling fiv
- An Age-Structured Within-Host Model for Multistrain Malaria Infections
- Travelling waves of a diffusive Kermack–McKendrick epidemic model with non-local delayed transmission
- Travelling wave solutions for an infection-age structured model with diffusion
- Traveling wave solutions in a two-group epidemic model with latent period
