International Scholarly Research Notices

Research Article

Modelling the Effects of Pollution on a Population and a Resource in a Polluted Environment

Figure 3

Numerical approximation to the time series solutions for the system of differential equations (2.23). The parameter values used were 𝑏 𝑛 0 = 𝑑 𝑏 0 = 3 , 𝑑 𝑛 0 = 2 , 𝑘 𝑛 0 = 𝑘 𝑏 0 = . 5 , 𝑏 𝑏 0 = 9 , 𝑑 𝑛 𝑐 𝑛 = 0 . 0 1 , 𝑘 1 = 𝑔 2 = ℎ = 𝑈 = 1 0 0 , 𝑘 𝑛 𝑐 𝑒 = 0 . 1 6 6 7 , 𝑘 𝑏 𝑐 𝑒 = 0 . 0 1 2 5 , 𝑘 2 = 3 . 0 1 , 𝑑 𝑛 𝑏 = 0 , 𝑘 4 = 5 2 . 0 1 , 𝑔 1 = 5 . 5 , and 𝑘 𝑛 𝑏 = 𝑑 𝑏 𝑛 = 𝑑 𝑏 𝑐 𝑏 = 𝑚 𝑛 = 𝑚 𝑏 = 𝑚 𝑒 = 𝑘 3 = 1 . The initial condition used was ( 𝑁 0 , 𝐵 0 , 𝐶 𝑁 0 , 𝐶 𝐵 0 , 𝐶 𝐸 0 ) = ( 0 . 5 , 0 . 2 5 , 0 , 0 , 0 ) .
643985.fig.003a
(a) Numerical approximation of 𝑁 and 𝐵
643985.fig.003b
(b) Numerical approximation of 𝐶 𝑁 , 𝐶 𝐵 and 𝐶 𝐸