The spatial diffusion of diseases

DOI10.1016/S0895-7177(97)00096-4zbMath0933.92030MaRDI QIDQ1298683

Giuseppe Saccomandi

Publication date: 4 April 2000

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

Banach spacesglobal solutionsnonlinear diffusionmild local solutions

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Groups and semigroups of linear operators (47D03) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (8)

Traveling waves in nonlocal dispersal SIR epidemic model with nonlinear incidence and distributed latent delay ⋮ Travelling waves of a delayed SIRS epidemic model with spatial diffusion ⋮ Traveling waves for a diffusive virus infection model with humoral immunity, cell‐to‐cell transmission, and nonlinear incidence ⋮ Wave propagation in a nonlocal dispersal SIR epidemic model with nonlinear incidence and nonlocal distributed delays ⋮ On a model of spatial spread of epidemics with long-distance travel ⋮ Traveling wave solutions in a nonlocal dispersal SIR epidemic model with general nonlinear incidence ⋮ Epidemic waves of a spatial SIR model in combination with random dispersal and non-local dispersal ⋮ Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Epidemic models with spatial spread due to population migration
• On the diffusion of biological populations
• Demography and epidemics
• Analysis of a disease transmission model in a population with varying size
• Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
• A class of nonlinear diffusion problems in age-dependent population dynamics
• A note on interacting populations that disperse to avoid crowding
• Nonlinear neutron diffusion with poisoning effects
• Global Behavior of an Age-Structured Epidemic Model
• Why Are There No 3-Headed Monsters? Mathematical Modeling in Biology

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