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https://elib.bsu.by/handle/123456789/292548
Заглавие документа: | Comparison Between Different Growth Functions of the Jatropha Curcas Plant with Random Attack Pattern of Whitefly |
Авторы: | Roshmi Das Ashis Kumar Sarkar |
Тема: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика |
Дата публикации: | 2021 |
Издатель: | Minsk : Education and Upbringing |
Библиографическое описание источника: | Nonlinear Phenomena in Complex Systems. - 2021. - Vol. 24, N 4. - P. 382-390 |
Аннотация: | We have proposed here two deterministic models of Jatropha Curcas plant and Whitefly that simulate the dynamics of interaction between them where the distribution of Whitefly on plant follows Poisson distribution.In the first model growth rate of the plant is assumed to be in logistic form whereas in the second model it is taken as exponential form. The attack pattern and the growth of the whitefly are assumed as Holling type II function.The first model results a globally stable state and in the second one we find a globally attracting steady state for some parameter values,and a stable limit cycle for some other parameter values. It is also shown that there exist Hopf bifurcation with respect to some parameter values. The paper also discusses the question about persistence and permanence of the model. It is found that the specific growth rate of both the population and attack pattern of the whitefly governs the dynamics of both the models. |
URI документа: | https://elib.bsu.by/handle/123456789/292548 |
ISSN: | 1561-4085 |
DOI документа: | 10.33581/1561-4085-2021-24-4-382-390 |
Лицензия: | info:eu-repo/semantics/openAccess |
Располагается в коллекциях: | 2021. Volume 24. Number 4 |
Полный текст документа:
Файл | Описание | Размер | Формат | |
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v24no4p382.pdf | 1,14 MB | Adobe PDF | Открыть |
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