Fig. 3
From: Mathematical exploration of a diffusive infection’s dynamics and simulation

The dynamics of the basic reproduction number \({\mathscr {R}}_0\) in relation to the treatment rate \(\delta\). When \(\delta < \delta _{\min }\), we have \({\mathscr {R}}_0 > 1\) and the endemic equilibrium is globally stable. For \(\delta > \delta _{\min }\), \({\mathscr {R}}_0 < 1\), and the disease-free steady state becomes globally stable.