Existence of Periodic Solutions and Stability of Zero Solution of a Mathematical Model of Schistosomiasis

Figure 4

Comparison between uncontrolled and the controlled snails: a periodic solution ((a-b), 𝐴=1, 𝐵=2.4, and  𝑟=2.5), a solution tending to zero ((c-d), 𝐴=2, 𝐵=0.2, and  𝑟=3.8), and a changed case ((e-f), 𝐴=2, 𝐵=0.2, and  𝑟=2.5), where square is 𝑥(𝑡), dot is 𝑦(𝑡),  𝑦₀=0, and  𝑥₀(𝜃)=cos(𝜋𝜃/10).

(a)

(b)

(c)

(d)

(e)

(f)