Abstract
This study extends the classical Lotka-Volterra prey-predator model by incorporating a stage structured prey population consisting of juvenile and adult stages, while considering a single predator species governed by a Holling type II functional response. The growth of the juvenile prey depends on the adult prey population and since the juvenile prey has no reproduction capability. Two distinct harvesting strategies are introduced in the model. Constant-yield harvesting is applied to the juvenile stage of the prey population and represents a fixed amount of harvest regardless of population size. Constant effort harvesting is applied to the adult stage of the prey population and the harvest rate is determined by the level of harvesting effort and the prey abundance. The boundedness and stability of the system are analyzed and the dynamics of the model are further illustrated through the figure. The results highlight the influence of stage-specific harvesting on the overall prey-predator dynamics.
Recommended Citation
Vijaya, S. and M, Krishika
(2050).
(R2165) Two Different Stages With Two Distinct Harvesting Processes,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
2, Article 17.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss2/17