The spreading frontiers of avian-human influenza described by the free boundary

DOI10.1007/s11425-013-4652-7zbMath1327.92064OpenAlexW1996916415WikidataQ90670349 ScholiaQ90670349MaRDI QIDQ476928

Chengxia Lei, Zhigui Lin, Kwang Ik Kim

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc7089280

zbMATH Keywords

reaction-diffusion systembasic reproduction numberavian-human influenzafree boudaryspreading frontiers

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57)

Related Items

Spreading and vanishing in a West Nile virus model with expanding fronts ⋮ Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza ⋮ Two-phase problem with a free boundary for systems of parabolic equations with a nonlinear term of convection ⋮ Spreading-vanishing scenarios in a time-periodic parasitic-mutualistic model of mistletoes and birds in heterogeneous environment with free boundary ⋮ A revisit to the diffusive logistic model with free boundary condition ⋮ The diffusive model for West Nile virus with advection and expanding fronts in a heterogeneous environment ⋮ A free boundary problem for a reaction-diffusion equation appearing in biology ⋮ Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks ⋮ The spreading frontiers in partially degenerate reaction-diffusion systems

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamics of an SI epidemic model with external effects in a polluted environment
• Global existence and blowup of solutions to a free boundary problem for mutualistic model
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
• Avian-human influenza epidemic model
• Avian-human influenza epidemic model with diffusion
• Dynamic models of infectious diseases as regulators of population sizes
• Diffusion and ecological problems: Modern perspectives.
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Particular symmetry in RNA sequence of SARS and the origin of SARS coronavirus
• Qualitative analyses of SIS epidemic model with vaccination and varying total population size
• Global fast and slow solutions of a localized problem with free boundary
• Dynamic optimal strategy for monitoring disease recurrence
• A Free Boundary Problem Arising in a Model of Wound Healing
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• A free boundary problem for a predator–prey model

This page was built for publication: The spreading frontiers of avian-human influenza described by the free boundary