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

Figure 1

A periodic solution ((a) 𝐴=1, 𝐵=2.4, and 𝑟=0.2 satisfy the conditions of Theorem 6) and a solution tending to zero ((b) 𝐴=0.2, 𝐵=0.02, and 𝑟=1.5 satisfy the conditions of Theorem 7), where square is 𝑥(𝑡), line is 𝑦(𝑡),  𝑦₀=0, and 𝑥₀(𝜃)=cos(𝜋𝜃/10).

(a)

(b)