Stability in an insect-pathogen model incorporating age-dependent immunity and seasonal host reproduction

DOI10.1007/BF02463727zbMath0529.92020OpenAlexW4246067544MaRDI QIDQ787913

Grayson C. Brown

Publication date: 1984

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02463727

zbMATH Keywords

epidemiologylinearized stability analysisinsect-pathogen modelmodified SIRS modelseasonal host reproduction

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Stability theory for ordinary differential equations (34D99)

Related Items (8)

Insect-pathogen dynamics: Stage-specific susceptibility and insect density dependence ⋮ The global properties of an age-dependent SI model involving pathogenic virus release and defence mechanisms for pests ⋮ Hopf bifurcation of an age-structured compartmental pest-pathogen model ⋮ The influence of the multiplicity of infection upon the dynamics of a crop-pest-pathogen model with defence mechanisms ⋮ The dynamics of an epidemic model for pest control with impulsive effect ⋮ Separate seasons of infection and reproduction can lead to multi-year population cycles ⋮ Understanding the dynamics of \textit{Salmonella} infections in dairy herds: a modelling approach ⋮ Modelling density-dependent resistance in insect-pathogen interactions

Cites Work

• Unnamed Item
• An epizootic model of an insect-fungal pathogen system
• Limit cycles in periodically perturbed population systems

This page was built for publication: Stability in an insect-pathogen model incorporating age-dependent immunity and seasonal host reproduction