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Theory and Modern Applications

Figure 3 | Advances in Difference Equations

Figure 3

From: Modelling the use of impulsive vaccination to control Rift Valley Fever virus transmission

Figure 3

The complex dynamical behaviour of model ( 3 ) with \(\pmb{\mu=0.12}\) , \(\pmb{\gamma=83}\) , \(\pmb{d=12}\) , \(\pmb{p_{r}=0.00664e^{-3}}\) , \(\pmb{p_{m}=0.00787e^{-3}}\) , \(\pmb{\eta=95}\) , \(\pmb{\Lambda=32{,}000}\) , \(\pmb{T=0.8}\) , \(\pmb{\phi=0.2}\) , \(\pmb{\tilde{p}=2}\) , where the conditions of Theorem 3 are invalid: (a), (c) the uniform persistence of RVFV for \(\mathcal {R}_{1}>0\), \(\mathcal{R}_{2}>0\), and \(H(\tilde{p},t)>0\) (\(\phi=0.2\), \(T=0.8\)); (b), (d) the extinction of RVFV for \(\mathcal{R}_{1}<0\), \(\mathcal{R}_{2}>0\), and \(H(\tilde{p},t)<0\) (\(\phi=0.8\), \(T=0.5\)).

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