Theory and Modern Applications
Table 7 Human and vector parameter’s values for the malaria model
Parameters | Value for extinction | Value for persistence | Reference | Dimension |
|---|---|---|---|---|
p | 0.25 | 0.8 | estimated | dimensionless |
\(c_{me}\) | 0.021 | 0.03 | [13] | dimensionless |
\(c_{em}\) | 0.11 | 0.45 | [13] | dimensionless |
\(c_{ma}\) | 0.012 | 0.022 | [13] | dimensionless |
\(c_{am}\) | 0.08 | 0.35 | [13] | dimensionless |
\(\tilde{c}_{am}\) | 0.008 | 0.002 | [13] | dimensionless |
\(\nu _{e}\) | 0.10 | 0.10 | [13] | /days |
\(\nu _{a}\) | 0.06 | 0.09 | [13] | /days |
\(\nu _{m}\) | 0.083 | 0.083 | [13] | /days |
\(\alpha _{e}\) | 0.001 | 0.001 | [13] | /days |
\(\alpha _{a}\) | 0.01 | 0.01 | [13] | /days |
\(\gamma _{e}\) | 0.000018 | 0.000018 | [13] | /days |
\(\gamma _{a}\) | 0.00003 | 0.00003 | [13] | /days |
\(\beta _{a}\) | 0.0055 | 0.0027 | [13] | /days |
\(\Lambda _{h}\) | 50 | 85 | estimated | humans/week |
\(f_{h}\) | 0.00063 | 0.00063 | [13] | /human/days |
\(f_{m}\) | 0.1 | 0.1 | [13] | /mosquito/days |
\(n_{a}\) | 0.25 | 0.5 | [13] | human/days |
\(K_{E}\) | 10,000 | 10,000 | estimated | space |
\(K_{L}\) | 5000 | 5000 | estimated | space |
\(K_{P}\) | 4000 | 4000 | estimated | space |
b | 2 | 10.7 | [1] | /days |
\(s_{E}\) | 0.6 | 0.4 | [1] | dimensionless |
\(d_{E}\) | 0.3 | 0.36 | [1] | dimensionless |
\(S_{L}\) | 0.4 | 0.5 | [1] | dimensionless |
\(d_{L}\) | 0.3 | 0.34 | [1] | dimensionless |
\(s_{P}\) | 0.25 | 0.3 | [1] | dimensionless |
\(d_{P}\) | 0.15 | 0.17 | [1] | dimensionless |
\(f_{m}\) | 0.6 | 0.15 | [1] | dimensionless |