Optimal control of a vectored plant disease model for a crop with continuous replanting

DOI10.1080/17513758.2019.1622808zbMath1447.92552OpenAlexW2947404618WikidataQ92436898 ScholiaQ92436898MaRDI QIDQ3304337

Michael J. Jeger, Linda J. S. Allen, Vrushali A. Bokil, Suzanne M. Lenhart

Publication date: 31 July 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2019.1622808

zbMATH Keywords

optimal controldifferential equationsreplanting strategiesvectored plant disease

Mathematics Subject Classification ID

Epidemiology (92D30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Plant biology (92C80) Pest management (92D45)

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Impact of farming awareness based roguing, insecticide spraying and optimal control on the dynamics of mosaic disease ⋮ Optimal control of plant disease epidemics with clean seed usage ⋮ Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay ⋮ Analysis and optimal control measures of diseases in cassava population ⋮ Dynamics of plant disease models with continuous and pulse farming awareness control ⋮ Reproduction number and sensitivity analysis of cassava mosaic disease spread for policy design ⋮ MATHEMATICAL MODEL OF POTATO VIRUS Y DISEASE SPREAD WITH OPTIMAL CONTROL ⋮ A comparison of deterministic and stochastic plant-vector-virus models based on probability of disease extinction and outbreak

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