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Theory and Modern Applications

Figure 10 | Advances in Difference Equations

Figure 10

From: Modelling the population dynamics of brown planthopper, Cyrtorhinus lividipennis and Lycosa pseudoannulata

Figure 10

A computer simulation of the system of Eqs. (4)–(6) with \(c_{1}=0.2~\mathrm{day}^{-1}\), \(c_{2}=0.95~\mathrm{day}^{-1}\), \(c_{3}=0.239~\mathrm{day} ^{-1}\), \(c_{4}=0.6~\mathrm{day}^{-1}\), \(c_{5}=0.01~\mathrm{day}^{-1}\), \(k_{1}=67.0\), \(k_{2}=0.51\), \(k_{3}=0.02\), \(h_{1}=0.024\), \(h_{2}=0.063\), \(e_{1}=0.001~\mathrm{day}^{-1}\), \(e_{2}=0.8~\mathrm{day}^{-1}\), \(e_{3}=0.9~\mathrm{day}^{-1}\), \(\gamma _{1}=0.01~\mathrm{day}^{-1}\), \(\gamma _{2}=0.1~\mathrm{day}^{-1}\), \(\epsilon =0.05\) and \(\delta =0.9\) where \(x(0)=67\), \(y(0)=0.1\) and \(z(0)=0.1\), for which all conditions in Theorem 5 are satisfied. The solution trajectory tends towards a stable equilibrium point as theoretically predicted

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