Dynamical features of pine wilt disease through stability, sensitivity and optimal control
| Autor: | Takasar Hussain, Muhammad Ozair, Fatima Tasneem, Riaz Ahmad Khan, Muhammad Faizan |
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| Rok vydání: | 2021 |
| Předmět: |
Mathematical optimization
Vital factors for disease spreading Population Stability (learning theory) Real data 01 natural sciences 010305 fluids & plasmas Robustness (computer science) 0103 physical sciences QA1-939 Sensitivity (control systems) 0101 mathematics education Mathematics Wilt disease education.field_of_study Algebra and Number Theory Disease Eradication Applied Mathematics Optimal control 010101 applied mathematics Effective control strategies Stability Basic reproduction number Deterministic model Analysis |
| Zdroj: | Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-31 (2021) |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-021-03411-y |
| Popis: | This work investigates the dissemination mechanism of pine wilt disease. The basic reproduction number is computed explicitly, and an ultimate invariable level of contagious hosts and vectors, without and with disease, is discussed by using this number. Highly effective techniques, Lyapunov functional and graph theoretic, are utilised to obtain the ultimate constant level of the whole population. The idea of complete disease eradication and reduction of endemic level is explored through the utilisation of two efficient methods. Using sensitivity analysis approach, necessary control measures are suggested to overcome the disease. Using the literature data, the robustness of control strategies is shown graphically. |
| Databáze: | OpenAIRE |
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