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

Figure 3

Permanence of system (7a) and (7b) with 𝑦(0)=0.3, 𝑎(𝑡)=−0.2+0.1sin2𝜋𝑡, 𝑏(𝑡)=1.5+0.1cos2𝜋𝑡, 𝑐(𝑡)=0.11+0.1sin2𝜋𝑡, 𝑑(𝑡)=1.5+sin2𝜋𝑡, and 𝑝=0.03. Time series of species 𝑦 for  𝑡∈[0,40].