Oscillation in Pest Population and Its Management: A Mathematical Study

Figure 2

The dynamics of the pest and predator population without any delay in predation activity of predators. (a) The top curve depicts 𝑥(𝑡), and the bottom one depicts 𝑦(𝑡). Clearly the solution approaches a positive asymptotically stable equilibrium (2.32034, 1.70924), and there is no oscillation into the system. (b) A solution curve with initial condition (1, 0.5) that approaches above equilibrium.

(a)

(b)