WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 21, 2022
Lotka-Volterra Model with Periodic Harvesting
Authors: Norma Muhtar, Edi Cahyono, R. Marsuki Iswandi, Muhidin
Abstract: A closed interaction of predator prey is considered. The interaction is expressed in the Lotka-Volterra model. Two types of Lotka-Volterra models are considered, with and without carrying capacity of the prey. The paper includes a periodic harvesting of predator and/or prey, a function of time which acts to the model. Hence, the model is in the form of a system of non-homogeneous equations. Dynamical properties of the models are investigated. The solutions are computed numerically. Such interaction is in the need of integrated farming on harvesting of predator and/or prey. In this model the number of population in the system is sensitive to the initial value, which can be applied to the integrated farming systems such that the system remains sustainable.
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Keywords: Dynamical properties, integrated farming, Lotka-Volterra model, prey-predator
Pages: 283-293
DOI: 10.37394/23202.2022.21.31
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 21, 2022, Art. #31