Abstract
The time delay is introduced into a networked Malaria model which describes the spread of infected Mosquitoes and humans. By analyzing the eigenvalue, it is shown that the endemic equilibrium is locally asymptotically stable in the absence of delay, but loses its stability via the Hopf bifurcation when the time delay increases beyond a threshold. Moreover, if the basic reproduction number is lower than 1, the disease free equilibrium is always stable whether the delay is present or not.
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