Abstract
This paper is concerned with a stochastic three species food-web model with intraguild predation and time delays. First, we show the existence of a unique global positive solution. Next, the sufficient conditions for extinction and persistence in mean of each population are established. Then, we show the model is stable in distribution. Next, sufficient criteria for the existence of optimal harvest are discussed. Moreover, optimal harvest effort and maximum harvest yield are obtained. In addition, we show the effects of stochastic perturbations and intraguild predation on the persistence and extinction of each population. In the case of coexistence of three species, we also show the effects of white noise of all trophic levels on the mean abundance and optimal harvest effort of each population. Finally, some numerical simulations are given.
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.
