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Theory and Modern Applications

Table 1 Description of variables and parameters

From: Qualitative behavior of a smoking model

Parameter

Description

P

Potential smokers

S

Smokers

X

Smokers who temporarily quit smoking

Y

Smokers who permanently quit smoking

Z

Class of smokers associated with some illness

α

The recruitment rate of the non-smoking (potential smoking) class from the larger embedding population

β

The transmission rate of non-smokers into smoking class

γ

The natural death rate

δ(1 − η)

The rate at which smokers temporarily quit smoking

δη

The rate at which smokers permanently quit smoking. It is assumed that 0<η<1

ϵ

Developing rate of smoking-related illness of the smokers

ζ

The rate at which temporarily quit smokers return back to smoking class

Ï‘

The additional death rate of the smoking-related illness class