Modeling plant virus propagation with delays

DOI10.1016/j.cam.2016.04.024zbMath1348.92153OpenAlexW2342735668MaRDI QIDQ313688

Benito M. Chen-Charpentier, Mark G. Jackson

Publication date: 12 September 2016

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.2016.04.024

zbMATH Keywords

delay differential equationsmathematical modelingvirus propagation

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20)

Related Items (20)

Control of mosaic disease using microbial biostimulants: insights from mathematical modelling ⋮ A model of biological control of plant virus propagation with delays ⋮ Direct and indirect optimal control applied to plant virus propagation with seasonality and delays ⋮ Study of time fractional proportional delayed multi‐pantograph system and integro‐differential equations ⋮ \(\mathrm{L}^p\)-calculus approach to the random autonomous linear differential equation with discrete delay ⋮ Hopf bifurcation analysis for a model of plant virus propagation with two delays ⋮ An optimal method for approximating the delay differential equations of noninteger order ⋮ Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations ⋮ Editorial: Mathematical modeling and computational methods ⋮ Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system ⋮ Stability and Hopf bifurcation analysis of a plant virus propagation model with two delays ⋮ Dynamics of a delayed plant disease model with Beddington-DeAngelis disease transmission ⋮ Impact of incubation delay in plant-vector interaction ⋮ Rich dynamics of a simple delay host-pathogen model of cell-to-cell infection for plant virus ⋮ Modeling plant virus propagation with seasonality ⋮ Effects of vector maturation time on the dynamics of cassava mosaic disease ⋮ Spatiotemporal patterns of a diffusive prey-predator model with spatial memory and pregnancy period in an intimidatory environment ⋮ Modeling plant disease with biological control of insect pests ⋮ Modelling the effect of incubation and latent periods on the dynamics of vector-borne plant viral diseases ⋮ Bifurcation and optimal control analysis of delayed models for huanglongbing

Uses Software

• DDE-BIFTOOL
• bvp4c

Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Global dynamic analysis of a vector-borne plant disease model
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Killer cell dynamics. Mathematical and computational approaches to immunology.
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• Dynamics of HIV infection of CD4\(^ +\) T cells
• Further Notes on the Basic Reproduction Number
• Solving ODEs with MATLAB
• Applied Delay Differential Equations

This page was built for publication: Modeling plant virus propagation with delays