Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments

Figure 1

Solutions of system (1) for 𝑟₁₀=0.7, 𝑟₂₀=0.5, 𝑎₁₁=0.8, 𝑎₁₂=0.5, 𝑎₂₁=0.4, 𝑎₂₂=0.7, 𝜏₁=10, 𝜏₂=12, 𝑘=𝑔=𝑚=0.2, ℎ=0.5, 𝑏=0.1, 𝛾=1, 𝐶₀(0)=𝐶_𝑒(0)=0.1, and step size Δ𝑡=0.001. (a) is with 𝜆₁=1.1,𝜆₂=1; (b) is with 𝜆₁=1, 𝜆₂=1; (c) is with 𝜆₁=1.2, 𝜆₂=0.8; (d) is with 𝜆₁=1, 𝜆₂=0.8484; (e) is with 𝜆₁=1.058, 𝜆₂=0.8; (f) is with 𝜆₁=1, 𝜆₂=0.8.

(a)

(b)

(c)

(d)

(e)

(f)