Skip to main content

Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: Dynamics of a new stage-structured population model with transient and nontransient impulsive effects in a polluted environment

Figure 1

The permanence of system (2.1) with \(x(t) = 1\), \(y(t) = 0.5\), \(c_{o}(t) = 0.5\), \(c_{e1}(t) = 0.4\), \(c_{1} = 0.1\), \(d_{1} = 0.1\), \(\beta _{1} = 0.01\), \(d_{2} = 0.3\), \(\beta _{2} = 0.01\), \(f = 0.1\), \(g = 0.4\), \(m = 0.5\), \(h_{1} = 0.3\), \(h_{2} = 0.15\), \(a = 0.4\), \(b = 1\), \(c_{2} = 0.5\), \(d_{3} = 0.1\), \(E_{1} = 0.08\), \(d_{4} = 0.1\), \(E_{2} = 0.05\), \(u_{1} = 0.01\), \(u_{2} = 0.03\), \(d = 0.5\), \(v_{1} = 0.4\), \(v_{2} = 0.5\), \(l= 0.5\), \(\tau = 1\); (a) time series of \(x(t)\); (b) time series of \(y(t)\); (c) time series of \(c_{o}(t)\); (d) time series of \(c_{e1}(t)\); (e) time series of \(c_{e2}(t)\)

Back to article page