J4 ›› 2012, Vol. 47 ›› Issue (9): 98-104.
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LU La-la, DOU Jia-wei
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Abstract:
The existence of the positive periodic solution was studied for a class of periodic logistic equation with impulsive harvesting, which includes both cases of the proportional and constant harvesting. Then, based on the results obtained for logistic equation, a monotone-iterative scheme was established to obtain the existence of the positive periodic solutions for Lotka-Volterra competition system. This method is constructive and can be used to develop a computational algorithm for numerical solutions of the periodic solution. An example was given and some computer simulations were carried out to demonstrate the main results.
Key words: Lotka-Volterra competition system; proportional and constant impulse harvesting; monotone-iterative method; periodic solution
LU La-la, DOU Jia-wei. The periodic solution for a class of competition system with proportional and constant impulse harvesting[J].J4, 2012, 47(9): 98-104.
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