Skip to Main content Skip to Navigation
Book sections

Application of Mathematical Epidemiology to crop vector-borne diseases. The cassava mosaic virus disease case

Abstract : In this chapter, an application of Mathematical Epidemiology to crop vector-borne diseases is presented to investigate the interactions between crops, vectors, and virus. The main illustrative example is the cassava mosaic disease (CMD). The CMD virus has two routes of infection: through vectors and also through infected crops. In the field, the main tool to control CMD spreading is roguing. The presented biological model is sufficiently generic and the same methodology can be adapted to other crops or crop vector-borne diseases. After an introduction where a brief history of crop diseases and useful information on Cassava and CMD is given, we develop and study a compartmental temporal model, taking into account the crop growth and the vector dynamics. A brief qualitative analysis of the model is provided,i.e., existence and uniqueness of a solution,existence of a disease-free equilibrium and existence of an endemic equilibrium. We also provide conditions for local (global) asymptotic stability and show that a Hopf Bifurcation may occur, for instance, when diseased plants are removed. Numerical simulations are provided to illustrate all possible behaviors. Finally, we discuss the theoretical and numerical outputs in terms of crop protection.
Complete list of metadatas

Cited literature [48 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02401399
Contributor : Yves Dumont <>
Submitted on : Monday, December 9, 2019 - 11:34:24 PM
Last modification on : Thursday, January 21, 2021 - 1:50:05 PM
Long-term archiving on: : Tuesday, March 10, 2020 - 11:06:52 PM

Files

CMV_chapter_of_Book_Chapwanya-...
Files produced by the author(s)

Identifiers

Citation

Michael Chapwanya, Yves Dumont. Application of Mathematical Epidemiology to crop vector-borne diseases. The cassava mosaic virus disease case. Miranda I. Teboh-Ewungkem; Gideon Akumah Ngwa. Infectious Diseases and our Planet, 7, Springer, 2021, Mathematics of Planet Earth, 978-3-030-50825-8. ⟨10.1007/978-3-030-50826-5_4⟩. ⟨hal-02401399⟩

Share

Metrics

Record views

229

Files downloads

464