Abstract
Optimization problem for a stochastic N-dimensionalcompetitive Lotka-Volterra system is studied in this paper.The considered system is driven by both white noise and jumping noise,and the jumping noise is modeled by astochastic integral with respect to a Poisson counting measure generatedby a Poisson point process.For two types of objective functions, namely,time-averaged yield and sustained yield,the optimal harvesting efforts as well as thecorresponding maximum yields are given respectively.Moreover, almost sure equivalence between thesetwo objective functions is proved by ergodic method.This paper provides us a new idea to study the stochastic optimal harvesting problem with sustained yield,and this idea can be popularized to other stochastic systems.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
