Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation

Figure 4

Global attractivity of system (7a) and (7b) with 𝑦(0)=0.3, 𝑎(𝑡)=−0.2+0.1cos2𝜋𝑡, 𝑏(𝑡)=1.5+0.1sin2𝜋𝑡, 𝑐(𝑡)=0.11+0.1cos2𝜋𝑡, 𝑑(𝑡)=1.5+cos2𝜋𝑡, and 𝑝=0.03. The positive solution 𝑦^∗(𝑡) with 𝑦(0)=0.15 tends to the positive solution 𝑦(𝑡) with 𝑦(0)=0.3.