A process-based, stage-structured model of potato cyst nematode population dynamics: effects of temperature and resistance

DOI10.1016/j.jtbi.2021.110701zbMath1465.92088OpenAlexW3144154460MaRDI QIDQ2029585

Helen Kettle, Vivian Blok, David A. Ewing

Publication date: 3 June 2021

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2021.110701

zbMATH Keywords

ordinary differential equationsdelay differential equationslife cycledistributed time delaysdiapausePCNpotato cyst nematodes

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Pest management (92D45)

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Cites Work

• The systematic formulation of population models for insects with dynamically varying instar duration
• Generalizations of the `linear chain trick': incorporating more flexible dwell time distributions into mean field ODE models
• An Introduction to Delay Differential Equations with Applications to the Life Sciences