Modeling and Dynamic Analysis in a Hybrid Stochastic Bioeconomic System with Double Time Delays and Lévy Jumps
Joint Authors
Liu, Chao
Yu, Longfei
Wang, Luping
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-13
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
A double delayed hybrid stochastic prey-predator bioeconomic system with Lévy jumps is established and analyzed, where commercial harvesting on prey and environmental stochasticity on population dynamics are considered.
Two discrete time delays are utilized to represent the maturation delay of prey and gestation delay of predator, respectively.
For a deterministic system, positivity of solutions and uniform persistence of system are discussed.
Some sufficient conditions associated with double time delays are derived to discuss asymptotic stability of interior equilibrium.
For a stochastic system, existence and uniqueness of a global positive solution are studied.
By using the invariant measure theory and singular boundary theory of diffusion process, existence of stochastic Hopf bifurcation and stochastic stability are investigated.
By constructing appropriate Lyapunov functions, asymptotic dynamic behavior of the proposed hybrid stochastic system with double time delays and Lévy jumps is discussed.
Numerical simulations are provided to show consistency with theoretical analysis.
American Psychological Association (APA)
Liu, Chao& Yu, Longfei& Wang, Luping. 2018. Modeling and Dynamic Analysis in a Hybrid Stochastic Bioeconomic System with Double Time Delays and Lévy Jumps. Complexity،Vol. 2018, no. 2018, pp.1-23.
https://search.emarefa.net/detail/BIM-1136119
Modern Language Association (MLA)
Liu, Chao…[et al.]. Modeling and Dynamic Analysis in a Hybrid Stochastic Bioeconomic System with Double Time Delays and Lévy Jumps. Complexity No. 2018 (2018), pp.1-23.
https://search.emarefa.net/detail/BIM-1136119
American Medical Association (AMA)
Liu, Chao& Yu, Longfei& Wang, Luping. Modeling and Dynamic Analysis in a Hybrid Stochastic Bioeconomic System with Double Time Delays and Lévy Jumps. Complexity. 2018. Vol. 2018, no. 2018, pp.1-23.
https://search.emarefa.net/detail/BIM-1136119
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136119