Journal
CHAOS SOLITONS & FRACTALS
Volume 151, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.111147
Keywords
Stochastic diffusive plant-herbivore system; Extinction; Invariant measure; Markov property; Large deviation principle
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Funding
- National Natural Science Foundation of China [12061049, 41665006]
- Guangdong Basic and Applied Basic Research Foundation-Natural Science Foundation [2021A1515010055]
- Guangxi Natural Science Foundation [2018GXNSFAA294145, 2019AC04004]
- 'BAGUI Scholar' Program of Guangxi Province of China
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This paper examines the dynamics of a stochastic diffusive plant-herbivore system, establishing the global existence and uniqueness of solutions through the fixed point theorem. The extinction and invariant measure for the system are investigated using comparison theorem and Krylov-Bogoliubov theorem, while a large deviation result is proven through martingale inequality and special energy estimates.
In the paper, we consider the dynamics of stochastic diffusive plant-herbivore system. Firstly, we establish the global existence and uniqueness of solutions by the fixed point theorem. Secondly, by comparison theorem and Krylov-Bogoliubov theorem, the extinction and invariant measure for the system are investigated. Finally, we also prove a large deviation result by martingale inequality and some special energy estimates. (c) 2021 Elsevier Ltd. All rights reserved.
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