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

Figure 2

Global attractivity of system (4a) and (4b) with 𝑎(𝑡)=−0.11+0.1cos𝜋𝑡, 𝑏(𝑡)=1.4+0.1sin𝜋𝑡, 𝑐(𝑡)=0.11+0.1cos𝜋𝑡, 𝑑(𝑡)=1.5+cos𝜋𝑡, 𝛾_2𝜅−1≡0.5, and 𝛾_2𝜅≡0.4. The positive solution 𝑦^∗(𝑡) with 𝑦^∗(0)=0.1 tends to the positive solution 𝑦(𝑡) with 𝑦(0)=0.2.