Table 3 The parameters for SEIRS malaria model.
From: Stochastic lattice-based modelling of malaria dynamics
Name | Description | Unita |
|---|---|---|
\(\Lambda _h\) | Immigration rate of humans | H \(\times\) T\(^{-1}\) |
\(\psi _h\) | Per capita birth rate of humans | T\(^{-1}\) |
\(\psi _v\) | Per capita birth rate of mosquitoes | T\(^{-1}\) |
\(\sigma _v\) | Number of times one mosquito would want to bite humans per unit time, if humans were freely available. This is a function of the mosquito’s gonotrophic cycle (the amount of time a mosquito requires to produce eggs) and its anthropophilic rate (its preference for human blood) | T\(^{-1}\) |
\(\sigma _h\) | The maximum number of mosquito bites a human can have per unit time. This is a function of the human’s exposed surface area | T\(^{-1}\) |
\(\beta _{hv}\) | Probability of transmission of infection from an infectious mosquito to a susceptible human, given that a contact between the two occurs | − |
\(\beta _{vh}\) | Probability of transmission of infection from an infectious human to a susceptible mosquito, given that a contact between the two occurs | − |
\(\tilde{\beta }_{hv}\) | Probability of transmission of infection from a recovered (asymptomatic carrier) human to a susceptible mosquito, given that a contact between the two occurs | − |
\(\nu _h\) | Per capita rate of progression of humans from the exposed state to the infectious state. \(1/\nu _h\) is the average duration of the latent period | T\(^{-1}\) |
\(\nu _v\) | Per capita rate of progression of mosquitoes from the exposed state to the infectious state. \(1/\nu _v\) is the average duration of the latent period | T\(^{-1}\) |
\(\gamma _h\) | Per capita recovery rate for humans from the infectious state to the recovered state. \(1/\gamma _h\) is the average duration of the infectious period | T\(^{-1}\) |
\(\delta _h\) | Per capita disease-induced death rate for humans | T\(^{-1}\) |
\(\rho _h\) | Per capita rate of loss of acquired temporary immunity for humans. \(1/\rho _h\) is the average duration of the immune period | T\(^{-1}\) |
\(\mu _{1h}\) | Density-independent part of the death (and emigration) rate for humans | T\(^{-1}\) |
\(\mu _{2h}\) | Density-dependent part of the death (and emigration) rate for humans | H \(\times\) T\(^{-1}\) |
\(\mu _{1h}\) | Density-independent part of the death (and emigration) rate for mosquitoes | T\(^{-1}\) |
\(\mu _{2h}\) | Density-dependent part of the death (and emigration) rate for mosquitoes | M \(\times\) T\(^{-1}\) |