Stability analysis and Hopf bifurcation of a brown planthopper–rice model under the effect of monsoon

Anh Duc Nguyen, Dung Ngoc Do, Hung Duc Nguyen and Thuy Phuong Nguyen

Ecological Modelling, 2022, vol. 468, issue C

Abstract: In this paper, we studied the brown planthopper (BPH) infestation on rice under the effects of monsoon using a two-time scales stage-structured predator–prey model. We divided the BPH population into two distinct stages, mature and juvenile, owing to the significant biological differences between the two. We considered a heterogeneous environment composed of two adjacent rice fields. Using the two-time scales, we reduced the model into an aggregated model with smaller dimensions and topological equivalent. The positivity and boundedness of the model’s solution were established. We conducted the dynamical analysis of the BPH–rice ecosystem through the local and global stability of the model’s equilibria. Moreover, the effects of rice fields area and monsoon were analyzed using Hopf bifurcation theory. We performed numerical simulations to illustrate the theoretical results. Finally, we provided some emergence discussions from the ecological perspective to give useful information for preventing and managing BPH on rice.

Keywords: Brown planthopper; Monsoon factor; Predator–prey model; Aggregated method; Stability analysis; Hopf bifurcation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:468:y:2022:i:c:s0304380022000631

DOI: 10.1016/j.ecolmodel.2022.109942

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