Analysis of a Delayed SIR Model with Nonlinear Incidence Rate

Table 1

Compare DDE (4.1) with ODE (4.12).

Case	0<ℜ0≤1	1<ℜ0≤ℜ𝑐	ℜ𝑐<ℜ0<ℜ𝑐𝑐	ℜ0>ℜ𝑐𝑐
ODE	𝐸1 GAS	𝐸+ LAS	𝐸+ LAS	stable periodic solution
DDE	𝐸1 GAS	𝐸+ ALAS^a	𝐸+ CLAS^b	complex dynamic phenomena

^aabsolutely stable^bconditionally stable