A model of biological control of plant virus propagation with delays

DOI10.1016/j.cam.2017.01.005zbMath1379.92059OpenAlexW2572812392MaRDI QIDQ1676016

Benito M. Chen-Charpentier, Mark G. Jackson

Publication date: 3 November 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.01.005

zbMATH Keywords

delay differential equationsmathematical modelingplant virus propagation

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20)

Related Items (12)

Modeling plant virus propagation with Filippov control ⋮ Analysis of a mathematical model arising in plant disease epidemiology ⋮ Stage-structure model for the dynamics of whitefly transmitted plant viral disease: an optimal control approach ⋮ Direct and indirect optimal control applied to plant virus propagation with seasonality and delays ⋮ Dynamics of toxoplasmosis in the cat's population with an exposed stage and a time delay ⋮ Dynamics of plant disease models with continuous and pulse farming awareness control ⋮ Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations ⋮ Dynamics of a delayed plant disease model with Beddington-DeAngelis disease transmission ⋮ Impact of incubation delay in plant-vector interaction ⋮ Mathematical model for continuous delayed single-species population with impulsive state feedback control ⋮ Effects of vector maturation time on the dynamics of cassava mosaic disease ⋮ Modeling plant disease with biological control of insect pests

Uses Software

• DDE-BIFTOOL
• bvp4c

Cites Work

• Modeling plant virus propagation with delays
• Dynamical analysis of delayed plant disease models with continuous or impulsive cultural control strategies
• Delay differential equations: with applications in population dynamics
• Global dynamic analysis of a vector-borne plant disease model
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• The dynamics of plant disease models with continuous and impulsive cultural control strategies
• Solving ODEs with MATLAB

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