Traveling waves of the spread of avian influenza
From MaRDI portal
Publication:2846747
DOI10.1090/S0002-9939-2012-11246-8zbMath1275.35068OpenAlexW2017621316MaRDI QIDQ2846747
Jianhong Wu, Rongsong Liu, Zhi-Cheng Wang
Publication date: 3 September 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11246-8
Epidemiology (92D30) Reaction-diffusion equations (35K57) Boundary value problems for functional-differential equations (34K10) Traveling wave solutions (35C07)
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Cites Work
- Unnamed Item
- Travelling wave solutions in multigroup age-structured epidemic models
- Elliptic partial differential equations of second order
- Spread Pattern Formation of H5N1-Avian Influenza and its Implications for Control Strategies
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
- TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
- 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
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II