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Table 1 Parameters of the Mathematical Model Of Taenia/Cysticercosis

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

Parameter

Symbol

Estimate

Source

Inverse measure of aggregation of T. solium

k 1

0.02–0.2

This work

Inverse measure of aggregation of cysticerci

k 2

0.23–0.37

[18]

Rate of transmission of adult parasites

β 1

0.1–0.36

This work

Rate of transmission of larvae to pigs

β 2

0.35–1

This work

Rate of transmission of larvae to humans

β 3

0.036–0.1

This work

See text for definition

D 1

0.9–1

 

See text for definition

D 2

0.6–0.9

 

See text for definition

D 3

0.9–1

 

See text for definition

T 1

0.16–0.33

[14]

See text for definition

T 2

0.208

[60]

See text for definition

T 3

0.3–0.67

 

Density of humans with T. solium (H1) or with cysticerci (H3)

H1 or H3

0.001–0.01

[48, 54, 67]

Density of hosts with cysticerci (pigs)

H 2

0.1–0.6

[62]

Rate of mortality of the definitive host

b 1

0.016

 

Rate of mortality of the intermediate host

b 2

0.8–1.5

 

Severity of density-dependent constraints (taenia)

α 1

0.001–0.01

This work

Severity of density-dependent constraints (pigs)

α 2

0.01–0.6

This work

Severity of density-dependent constraints (humans)

α 3

0.001–0.1

This work

Rate of fecundity

λ

1 × 106-1 × 107

[61]

Rate of mortality of the adult parasite

μ 1

0.33–1

[48, 58, 63]

Rate of egg mortality

μ 2

50

[59, 60]

Rate of larvae mortality (pigs)

μ 3

0.5–2

[15, 64]

Rate of larvae mortality (humans)

μ 4

0.14–0.33

[14]