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Table 3 Description and goodness-of-fit results of the abundance models for E. multilocularis in foxes in Zurich

From: Mathematical modelling of Echinococcus multilocularis abundance in foxes in Zurich, Switzerland

Model

Description

P

NLL

One zone

  M1

Constant infection pressure

2

1,882.6

  M2

Decrease in infection pressure and fox age

3

1,881.1

  M3

Periodic relationship between infection pressure and fox age

3

1,879.1

  M4

Periodic relationship between infection pressure and fox age plus a decreasing infection pressure with increasing fox age

4

1,875.3

  M5

Periodic relationship between infection pressure and fox age plus a decreasing infection pressure with increasing fox age and also accounting for parasite-induced immunity

6

1,875.4

Two zones: periurban and suburban (border + urban)

  M6

Constant infection pressure

2

1,856.1

  M7

Decrease in infection pressure and fox age

4

1,852.8

  M8

Periodic relationship between infection pressure and fox age

4

1,849.6

  M9

Periodic relationship between infection pressure and fox age plus a decreasing infection pressure with increasing fox age in both zones

6

1,844.3

  M10

Periodic relationship between infection pressure and fox age plus a decreasing infection pressure with increasing fox age only in periurban zone

5

1,845.0

  M11

Periodic relationship between infection pressure in both zones and only in the periurban area decreasing infection pressure with increasing fox age and parasite-induced immunity

7

1,844.7

  M12

As M10, but μ a was fixed as 8.6

4

1,847.0

 

Three zones: periurban, border and urban

  

  M13

Constant infection pressure

2

1,844.4

  M14

Decrease in infection pressure and fox age

5

1,840.2

  M15

Periodic relationship between infection pressure and fox age

5

1,837.1

  M16

Periodic relationship between infection pressure and fox age plus a decreasing infection pressure with increasing fox age in all three zones

8

1,831.8

  M17

Periodic relationship between infection pressure and fox age plus a decreasing infection pressure with increasing fox age only in periurban zone

6

1,832.1

  M18

Periodic relationship between infection pressure and fox age plus parasite-induced immunity in all three zones

7

1,836.6

  M19

Periodic relationship between infection pressure and fox age in all zones and only in the periurban area decreasing infection pressure with increasing fox age and parasite-induced immunity

8

1,835.1

  M20

As M17, but μ a was fixed as 8.6

5

1,833.4

  1. aParasite death rate (μ)
  2. Abbreviations: P model parameters, NLL negative log-likelihood values