A Three-Species Food Chain System with Two Types of Functional Responses

Figure 2

𝑎=1.5, 𝑏=1, 𝑐₁=0.6, 𝑐₂=0.6, 𝑐₃=0.7, 𝑐₄=0.7, 𝑑₁=0.1, 𝑑₂=0.45, 𝛼₁=1, 𝛼₂=1.1, and 𝛽=1.1 and an initial condition (100,100,100). (a) The trajectory of system (1.2). (b)–(d) Time series for 𝑥(𝑡),𝑦(𝑡), and 𝑧(𝑡).