AlBasir2021_Article_EffectsOfVectorMaturationTimeO.pdf (1.3 MB)
Effects of vector maturation time on the dynamics of cassava mosaic disease
journal contribution
posted on 2023-06-10, 00:45 authored by F Al Basir, Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin Blyuss, S RayMany plant diseases are caused by plant viruses that are often transmitted to plants by vectors. For instance, the cassava mosaic disease, which is spread by whiteflies, has a significant negative effect on plant growth and development. Since only mature whiteflies can contribute to the spread of the cassava mosaic virus, and the maturation time is non-negligible compared to whitefly lifetime, it is important to consider the effects this maturation time can have on the dynamics. In this paper, we propose a mathematical model for dynamics of cassava mosaic disease that includes immature and mature vectors and explicitly includes a time delay representing vector maturation time. A special feature of our plant epidemic model is that vector recruitment is negatively related to the delayed ratio between vector density and plant density. We identify conditions of biological feasibility and stability of different steady states in terms of system parameters and the time delay. Numerical stability analyses and simulations are performed to explore the role of various parameters, and to illustrate the behaviour of the model in different dynamical regimes. We show that the maturation delay may stabilise epidemiological dynamics that would otherwise be cyclic.
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Publication status
- Published
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- Published version
Journal
Bulletin of Mathematical BiologyISSN
0092-8240Publisher
SpringerExternal DOI
Issue
8Volume
83Page range
1-21Article number
a87Event location
United StatesDepartment affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2021-08-26First Open Access (FOA) Date
2021-08-26First Compliant Deposit (FCD) Date
2021-08-26Usage metrics
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