Oscillation in Pest Population and Its Management: A Mathematical Study
Behavior of the controlled system, that is, when pesticide is applied into the system (). The first two figures show the time series graphs of the populations of pest and natural enemy, whereas the bottom one depicts the solution curve starting from initial point (1, 0.5). Though the system is with a delay of amount in the predation function, it shows that after a bit oscillation solution approaches an asymptotically stable equilibrium (2.3607, 0.743821). This implies that application of certain amount of control measure could normalize the oscillatory nature of the pest population and brings it into stable position.