Table 4.

Branching process approximation of the malaria model near the disease-free equilibrium

Change $\left(\Delta I,\Delta V\right)$	Probability
$\left(+\mathrm{1,0}\right)$	$\alpha v\Delta t+o\left(\Delta t\right)$
$\left(0,+1\right)$	$\beta i\left(M/H\right)\Delta t+o\left(\Delta t\right)$
$\left(-\mathrm{1,0}\right)$	$\gamma i\Delta t+o\left(\Delta t\right)$
$\left(0,-1\right)$	$\mu v\Delta t+o\left(\Delta t\right)$