Table 1.
Parameters of the basic malaria model presented obtained from published literature. (R) shows dependence on rainfall and (T) represents dependence on temperature.
| Description | Symbol | Value | Source |
|---|---|---|---|
| Adult mosquito birth rate | β M(T, R) | B E P E(R)P L(R, T)P P(R)/(τ E + τ L(T) + τ P) | [8] |
| Birth rate of juveniles | β J(T, R) | 10∗β M(T, R) | [9] |
| Mosquito biting rate | a(T, R) | β J(T, R)/2.325 | [9] |
| Number of eggs laid per adult oviposition | B E | 200 | [8] |
| Daily survival probability of eggs | P E(R) | (4∗0.9/R L 2)R(R L − R) | [8] |
| Daily survival probability of larvae | P L(T, R) | (4∗0.25/R L 2)R(R L − R)∗e −0.00554T−0.06737 | [8] |
| Daily survival probability of pupae | P P(R) | (4∗0.75/R L 2)R(R L − R) | [8] |
| Duration of egg development | τ E | 1 | [8] |
| Duration of larvae development | τ L(T) | 1/(0.00554T − 0.06737) | [8] |
| Rainfall beyond which no immature stages survive | R L | 50 | [8] |
| Duration of pupae development | τ P | 1 | [8] |
| Juvenile mosquito death rate | μ J(T) | 0.0025T 2 − 0.094T + 1.0257 | [9] |
| Adult mosquito death rate | μ M(T) | −lnρ(T) | [10] |
| ρ(T) | e −1/(−0.03T2+1.31T−4.4) | [10] | |
| Progression rate of mosquitoes | κ M | (T − T min)/DD | [11] |
| Recruitment rate of humans | θ | 0.028 | [12] |
| Proportion of bites by infectious mosquitoes on susceptible humans that produce infection | b H | 0.09 | [5] |
| Proportion of bites by susceptible mosquitoes on infected humans that produce infection | b M | 0.04 | [5] |
| Per capita natural death rate for humans | μ H | 0.00004 | [12] |
| Progression rate of humans from exposed class | κ H | 1/14 | [12] |
| Recovery rate of humans | α | 0.005 | [12] |
| Per capita disease induced death rate | η | 0.0004 | [12] |
| Per capita rate of loss of immunity | γ | 1/(20∗365) | [13] |
| Carrying capacity of larvae | K | 1000000 | [4] |
| Proportion of humans recovering without temp. immunity | p | 0.25 | [4] |