SERVILIA OANCEA*, I. GROSU**, A.V. OANCEA***
*University of Agronomy, Iaşi
**”Grigore T. Popa” University of Medicine and Pharmacy, Iaşi
***”Al.I. Cuza” University, Iaşi
Abstract. In this work we present the synchronization of two Lotka-Volterra with four competitive species in order to formulate the biological control with two preys, two predators. Our results show that the transient until synchronization depends on the initial conditions of two systems and on the control strength. For practical reasons we need a single controller in order to achieve the synchronization; for these systems the synchronization is about four times faster when we use all the controllers than when we use a single controller. In addition the only way we can use a single controller is if we apply it in the first or in the third equation. If we must interfere on the second population, we must use two controllers. We suggest that we can control the pests by synchronizing the pest population with the population of the parasitoid by varying the initial conditions and the control strength.
Key words: predator-prey system, pest control, synchronization.
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