Publication: A delay differential equation model of mealybugs and green lacewings
Issued Date
2019-12-01
Resource Type
ISSN
16871847
16871839
16871839
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2-s2.0-85068898685
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Mahidol University
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SCOPUS
Bibliographic Citation
Advances in Difference Equations. Vol.2019, No.1 (2019)
Suggested Citation
Kittipol Jankaew, Chontita Rattanakul, Warunee Sarika A delay differential equation model of mealybugs and green lacewings. Advances in Difference Equations. Vol.2019, No.1 (2019). doi:10.1186/s13662-019-2226-x Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/51187
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Title
A delay differential equation model of mealybugs and green lacewings
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Abstract
© 2019, The Author(s). In this paper, we propose and analyze a mathematical model of mealybugs and green lacewings with time delay to investigate the population dynamics of mealybugs (a major insect pest of cassava) and green lacewings (a natural enemy of mealybugs) when the time delay in the development of green lacewings is taken in to account. Hopf bifurcation theorem and Routh–Hurwitz criteria are utilized so that the conditions on the model parameters which differentiate various dynamic behaviors of the model are obtained. Computer simulations are also carried out to illustrate our theoretical predictions. Chaotic behavior observed in the field data is also investigated numerically.