Modelling the population dynamics of brown planthopper, Cyrtorhinus lividipennis and Lycosa pseudoannulata
Abstract In this work, a mathematical model is proposed to investigate the population dynamics of brown planthopper, which is a major insect pest of rice, and its natural enemies namely Cyrtorhinus Lividipennis and Lycosa Pseudoannulata. To analyse the model theoretically, the geometric singular per...
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Online Access: | http://link.springer.com/article/10.1186/s13662-019-2217-y |
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doaj-36636051920e497c96b2803cb129d7e72020-11-25T02:32:19ZengSpringerOpenAdvances in Difference Equations1687-18472019-07-012019112110.1186/s13662-019-2217-yModelling the population dynamics of brown planthopper, Cyrtorhinus lividipennis and Lycosa pseudoannulataSongabsorn Manorod0Chontita Rattanakul1Department of Mathematics, Faculty of Science, Mahidol UniversityDepartment of Mathematics, Faculty of Science, Mahidol UniversityAbstract In this work, a mathematical model is proposed to investigate the population dynamics of brown planthopper, which is a major insect pest of rice, and its natural enemies namely Cyrtorhinus Lividipennis and Lycosa Pseudoannulata. To analyse the model theoretically, the geometric singular perturbation method is employed. Conditions that differentiate dynamic behaviors exhibited by the model are derived. To illustrate our theoretical predictions, computer simulations are also presented showing that the dynamic behavior exhibited by the model correspond to the reported field observations.http://link.springer.com/article/10.1186/s13662-019-2217-yMathematical modelBrown planthoppersCyrtorhinus lividipennisLycosa pseudoannulata |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Songabsorn Manorod Chontita Rattanakul |
spellingShingle |
Songabsorn Manorod Chontita Rattanakul Modelling the population dynamics of brown planthopper, Cyrtorhinus lividipennis and Lycosa pseudoannulata Advances in Difference Equations Mathematical model Brown planthoppers Cyrtorhinus lividipennis Lycosa pseudoannulata |
author_facet |
Songabsorn Manorod Chontita Rattanakul |
author_sort |
Songabsorn Manorod |
title |
Modelling the population dynamics of brown planthopper, Cyrtorhinus lividipennis and Lycosa pseudoannulata |
title_short |
Modelling the population dynamics of brown planthopper, Cyrtorhinus lividipennis and Lycosa pseudoannulata |
title_full |
Modelling the population dynamics of brown planthopper, Cyrtorhinus lividipennis and Lycosa pseudoannulata |
title_fullStr |
Modelling the population dynamics of brown planthopper, Cyrtorhinus lividipennis and Lycosa pseudoannulata |
title_full_unstemmed |
Modelling the population dynamics of brown planthopper, Cyrtorhinus lividipennis and Lycosa pseudoannulata |
title_sort |
modelling the population dynamics of brown planthopper, cyrtorhinus lividipennis and lycosa pseudoannulata |
publisher |
SpringerOpen |
series |
Advances in Difference Equations |
issn |
1687-1847 |
publishDate |
2019-07-01 |
description |
Abstract In this work, a mathematical model is proposed to investigate the population dynamics of brown planthopper, which is a major insect pest of rice, and its natural enemies namely Cyrtorhinus Lividipennis and Lycosa Pseudoannulata. To analyse the model theoretically, the geometric singular perturbation method is employed. Conditions that differentiate dynamic behaviors exhibited by the model are derived. To illustrate our theoretical predictions, computer simulations are also presented showing that the dynamic behavior exhibited by the model correspond to the reported field observations. |
topic |
Mathematical model Brown planthoppers Cyrtorhinus lividipennis Lycosa pseudoannulata |
url |
http://link.springer.com/article/10.1186/s13662-019-2217-y |
work_keys_str_mv |
AT songabsornmanorod modellingthepopulationdynamicsofbrownplanthoppercyrtorhinuslividipennisandlycosapseudoannulata AT chontitarattanakul modellingthepopulationdynamicsofbrownplanthoppercyrtorhinuslividipennisandlycosapseudoannulata |
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1724819955620249600 |