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Exact(58)
Thus we only show that it attracts all nonnegative solutions of model (2.1).
Next, on the permanence of all positive solutions of model (1), we have the following result.
In this section we prove the positivity of the solutions of model (1).
In [6], Elabbasy et al. studied the oscillation of solutions of model (1.1).
That is the solutions of model (5) are strongly persistent in the mean.
Firstly, on the positivity of solutions of model (1), we have the following result.
It is obvious that solutions of model (3) always exist and stay positive.
Figure 2 The bifurcation diagram of the endemic equilibria and periodic solutions of model (1).
In the following, we shall focus on characterizing solutions of model (2) using fixed-point equations.
Makinde [4] employed the Adomian decomposition method to compute an approximate non-perturbative solutions of model (1.1).
Similar(1)
It is shown that both of these critical issues can be overcome in a unified yet simple way, provided that the usual requirement of global asymptotic stability of solutions of model-observer system is replaced with a weaker constraint of mere set-attractivity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com