A new approach to mathematical modeling of host-parasite systems

DOI10.1016/S0898-1221(98)00255-7zbMath0974.92031OpenAlexW1975216271MaRDI QIDQ1962946

Curtis Allan Patton, Fabio Augusto Milner

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(98)00255-7

zbMATH Keywords

simulationssize-structured modelshelminth macroparasites

Mathematics Subject Classification ID

Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40)

Related Items

Existence and uniqueness of solutions for a diffusion model of host--parasite dynamics., An implicit approach to model plant infestation by insect pests, Existence of solutions for a host-parasite model, A diffusion model for host--parasite interaction

Cites Work

• Population dynamics of killing parasites which reproduce in the host
• Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations
• Comparison of an infinite dimensional model for parasitic diseases with a related 2-dimensional system
• Endemic Thresholds and Stability in a Class of Age-Structured Epidemics
• Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
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