Analysis of a Periodic Impulsive Predator-Prey System with Disease in the Prey

Figure 3

Global attractivity of system (80) with 𝛼_𝑘=0.26, 𝑝=0.1, and 𝛾_𝑘=0.53. (a) Positive solution 𝑆(𝑡) with 𝑆(0)=0.69 tends to the other positive solution 𝑆^∗(𝑡) with 𝑆^∗(0)=1.24 for 𝑡∈[0,20]. (b) Positive solution 𝐼(𝑡) with 𝐼(0)=0.42 tends to the other positive solution 𝐼(𝑡) with 𝐼^∗(0)=0.11 for 𝑡∈[0,20]. (c) Positive solution 𝑃(𝑡) with 𝑃(0)=0.265 tends to the other positive solution 𝑃^∗(𝑡) with 𝑃^∗(0)=0.139 for 𝑡∈[0,20].

(a)

(b)

(c)