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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\(^{-1}\)
  1. aIn the Unit, H represents humans, M represents mosquitoes, and T represents time