ArticleScientific reports2017
Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control.
Article in Scientific reports, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Systematic review of modelling approaches assessing eradication and containment measures for the pinewood nematode (PWN)EFSA journal. European Food Safety Authority · 2026Article
- Article
- Assessing the potential impact of COVID-19 Omicron variant: Insight through a fractional piecewise model.Results in physics · 2022Article
- Global Analysis and Optimal Control Model of COVID-19.Computational and mathematical methods in medicine · 2022Article
- Modeling and dynamic analysis of novel coronavirus pneumonia (COVID-19) in China.Journal of applied mathematics & computing · 2022Article
- Mathematical Modeling Investigation of Violence and Racism Coexistence as a Contagious Disease Dynamics in a Community.Computational and mathematical methods in medicine · 2022Article
- Modelling the dynamics of Pine Wilt Disease with asymptomatic carriers and optimal control.Scientific reports · 2020Article
- Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains.Journal of advanced research · 2019Article
- A theoretical model for Zika virus transmission.PloS one · 2017Article
Corrections and comments
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Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
This paper presents and examine a mathematical system of equations which describes the dynamics of pine wilt disease (PWD). Firstly, we examine the model with constant controls. Here, we investigate the disease equilibria and calculate the basic reproduction number of the disease. Secondly, we incorporate time dependent controls into the model and then analyze the conditions that are necessary for the disease to be controlled optimally. Finally, the numerical results for the model are presented.
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