Influence of harvesting on the dynamics of predator-prey community with age-structure for prey

Revutskaya O.L., Kulakov M.P., Frisman E.Y.
 pdf (2992K)

The paper studies the influence of selective harvest on dynamic modes of the «predator–prey» community with age structure for prey. We use a slight modification of the Nicholson-Bailey model to describe the interaction between predator and prey. We assume the prey population size is regulated by a decrease in survival rate of juvenile with an increase in the size of age class. The aim is to study the mechanisms of formation and evolution of dynamic modes for the structured «predator–prey» community model due to selective harvesting. We considered the cases when a harvest of some part of predator or prey population or one of the prey’s age classes is realized. The conditions of stable coexistence of interacting species and scenarios of the occurrence of oscillatory modes of abundance are studied. It is shown the harvesting of only young individuals of prey or simultaneous removal of young and adult individuals leads to expansion of parameter space domain with stable dynamics of prey population both with and without a predator. At the same time, the bistability domain narrows, in which changing initial conditions leads to the predator either remains in the community or dies from lack of food. In the case of the harvest for prey adult individuals or predator, the predator preservation in the community is ensured by high values of the prey birth rate, moreover bistability domain expands. With the removal of both juvenile preys and predators, an increase in the survival rates of adult prey leads to stabilization of the community dynamics. The juveniles’ harvest can lead to damping of oscillations and stabilize the prey dynamics in the predator absence. Moreover, it can change the scenario of the coexistence of species — from habitation of preys without predators to a sustainable coexistence of both species. The harvest of some part of predator or prey or the prey’s older age class can lead to both oscillations damping and stable dynamics of the interacting species, and to the destruction of the community, that is, to the death of predator.

Keywords: Nicholson–Bailey model, age structures, density-dependent regulation, harvest, stability, dynamic modes
Citation in English: Revutskaya O.L., Kulakov M.P., Frisman E.Y. Influence of harvesting on the dynamics of predator-prey community with age-structure for prey // Computer Research and Modeling, 2021, vol. 13, no. 4, pp. 823-844
Citation in English: Revutskaya O.L., Kulakov M.P., Frisman E.Y. Influence of harvesting on the dynamics of predator-prey community with age-structure for prey // Computer Research and Modeling, 2021, vol. 13, no. 4, pp. 823-844
DOI: 10.20537/2076-7633-2021-13-4-823-844
URL: http://crm-en.ics.org.ru/journal/article/3101/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"

Copyright © 2009–2024 Institute of Computer Science