Abstract

In this paper, we have discussed the dynamical behaviour of a delayed induced harvested predator-prey model incorporating both effects of fear (felt by prey) and additional food (provided to the predator). Hence we have considered selective harvesting terms in both the species that provides some fixed elapsed time to prey and predator population before they are harvested. Ecologically, harvesting of population are restrained below certain age to protect juvenile population. Also the reproduction of prey population can be greatly hindered due to the influence of fear effect. However, to increase the growth rate of predator and to decrease the predatory attack rate on the prey population, it is necessary to incorporate additional food to the predator for maintaining ecological balance. Consideration of age-selective harvesting together with fear effect and additional food compel the proposed system to exhibit Hopf-bifurcation around the coexistence equilibrium point. For better ecological community management, our study reveals the fact that harvesting delay and harvesting intensities should be maintained. Numerical simulations have been performed to validate the analytical findings.

Full Text
Paper version not known

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 call

Disclaimer: 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.