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Table 2 Meaning of Variables and Parameters

From: Mathematical model of the life cycle of taenia-cysticercosis: transmission dynamics and chemotherapy (Part 1)

Symbol

Variables

UNITS

M 1

Mean intensity of taeniasis in humans

 

M 2

Mean intensity of cysticerci in the pigs

 

M 3

Mean intensity of cysticerci in humans

 

P 1

Prevalence of adult parasites (taenias)

 

P 2

Prevalence of larval parasites (cysticerci in pigs)

 

P 3

Prevalence of larval parasites (cysticerci in humans)

 

E

Number of tapeworm eggs

 
 

PARAMETERS

 

k 1

Inverse measure of aggregation of T. solium

 

k 2

Inverse measure of aggregation of cysticerci

 

β 1

Rate of transmission of adult parasites

 

β 2

Rate of transmission of larvae to pigs

 

β 3

Rate of transmission of larvae to humans

 

D 1

Proportion of parasites acquired by the definitive host which survive to reach sexual maturity

 

D 2

Proportion of parasites acquired by the intermediate host which survive to reach infectivity

 

D 3

Proportion of parasites accidentally acquired by human host which survive to reach infectivity

 

T 1

Time period from entry into the definitive host to reproductive maturity when worms begin egg production

year

T 2

Time period from entry into the intermediate host (pig) to the development of the infective stage

Year

T 3

Time period from entry into the human host to the development of the infective stage

year

H 1

Density of humans that can be infected with T. solium

 

H 2

Density of pigs that can be infected with cysticerci

 

H 3

Density of humans that can be infected with cysticerci

 

b 1

Rate of mortality of the definitive host (humans)

year−1

b 2

Rate of mortality of the intermediate host (pigs)

year−1

α 1

Severity of density-dependent constraints (taenia)

year−1

α 2

Severity of density-dependent constraints (pigs)

year−1

α 3

Severity of density-dependent constraints (humans)

year−1

λ

Rate of fecundity

year−1

μ 1

Rate of mortality of the adult parasite

year−1

μ 2

Rate of egg mortality

year−1

μ 3

Rate of larvae mortality (pigs)

year−1

μ 4

Rate of larvae mortality (humans)

year−1