Nonlinear Pulse Vaccination in an SIR Epidemic Model with Resource Limitation

Table 1

Parameter definitions, values and source for model (4).

Parameter	Definition	Value	Source
𝑏	Rate of natural birth or death rate of the population (year^−1)	0.02	[33]
𝛽	Probability of transmission per contact (year^−1)	1800	[33]
𝛾	Natural recovery rate of the infective individuals (year^−1)	100	[33]
𝑝max	The maximal vaccination proportion (year^−1)	[0,1)	[8, 9]
𝜃	The half saturation constant	[0,1]	Assumption
𝑇	Period of pulse vaccination (year)	[0,20]	[8, 9]