Continuous ODE Malaria Simulator
Based on Griffin et al. (2010)
READY

Control the Epidemic.
Work within your Budget.

Each team controls a different set of public health interventions. Adjust parameters, spend wisely, and observe the disease dynamics. Can you reduce malaria burden?

Total Budget
$25,000
Spent: $0  |  Remaining: $25,000

πŸ›οΈ
Team Vector Control
Bednets & Indoor Spraying
$0
Bednet Coverage Reduces mosquito biting rate
0%
πŸ’° $5 per net Β· ~1 net/person
IRS Coverage Indoor Residual Spraying β€” kills resting mosquitoes
0%
πŸ’° $8 per household Β· ~4 persons/household
Bednet Efficacy % biting reduction per net (quality)
70%
πŸ’° +$3/net for long-lasting insecticidal nets
πŸ’‰
Team Vaccines & Chemoprevention
RTS,S Vaccination & SMC
$0
R21/Matrix M or RTS,S Vaccination Coverage Pre-erythrocytic vaccine, children under 5
0%
πŸ’° $5.0 average per dose Β· 4 doses required
SMC Coverage Seasonal Malaria Chemoprevention (children)
0%
πŸ’° $3.50 per child per season Β· 3 rounds
Vaccine Efficacy (%) Protection from clinical disease
39%
Fixed by biology β€” RTS,S field efficacy
πŸ₯
Team Clinical Management
Test & Treat + Prophylaxis
$0
Treatment Rate (fT) Prob. of receiving ACT treatment when clinical
20%
πŸ’° $2.50 per treatment course (ACT)
MDA Coverage Mass Drug Administration rounds
0%
πŸ’° $5 per person per round Β· 2 rounds/yr
Diagnostic Capacity RDT availability β€” increases case detection
30%
πŸ’° $0.50 per RDT test
βš™οΈ Epidemiological Parameters β€” adjust to explore different transmission settings
EIR (inoculations/person/yr) Entomological Inoculation Rate
50
Seasonality 0=stable, 1=highly seasonal
0.3
Simulation Years Duration of simulation
5 yr
Mosquito Lifespan (days) Mean adult mosquito survival
7.6
Stochasticity 0=deterministic ODE Β· 1=full demographic noise
0.5
PfPR 2-10
β€”
Parasite prevalence (children)
Peak Infections / 1000
β€”
Highest single-day burden
Total Clinical Cases
β€”
Cumulative over simulation
Cases Averted
β€”
vs. no-intervention baseline
Cost per Case Averted
β€”
Intervention efficiency
Equilibrium EIR
β€”
Final transmission intensity
PfPR₂₋₁₀: Intervention vs Control
PfPR β€” Intervention arm
PfPR β€” Control arm (no intervention)

πŸ“ Model Equations β€” Griffin et al. (2010) with demographic stochasticity

dS/dt  = ΞΌN + rTΒ·Tr + rUΒ·U βˆ’ Λ·S βˆ’ ΞΌΒ·S  // births + recoveries, minus new infections
dD/dt  = Ο†(ICA)Β·(1βˆ’fT)·Λ·(S+A+U) βˆ’ (rD+ΞΌ)Β·D
dA/dt  = (1βˆ’Ο†)·Λ·(S+U) + rDΒ·D βˆ’ φ·Λ·A βˆ’ (rA+ΞΌ)Β·A  // superinfection Aβ†’D
dU/dt  = rAΒ·A βˆ’ Λ·U βˆ’ (rU+ΞΌ)Β·U  // all U bites exit U β†’ D or A
b(IB)  = bβ‚€Β·[b₁ + (1βˆ’b₁)/(1+(IB/IBβ‚€)^kB)]  // Griffin 2010: saturating blood immunity
Ο†(ICA) = Ο†β‚€Β·[1 βˆ’ ICA^kCA/(ICA^kCA + ICβ‚…β‚€^kCA)]  // clinical immunity, ICAβ‚…β‚€=8, never reaches zero
dIB/dt = EIR(t)/dB βˆ’ IB/dB   // builds with bites (dBβ‰ˆ142d), mean-reverts
dICA/dt= incidence/(NΒ·dCA) βˆ’ ICA/dCA  // builds with clinical exposure (dCAβ‰ˆ662d)
SDE noise: du = f(u)dt + Οƒ(u)·√dtΒ·dW  // Euler-Maruyama; σ²=Ξ£|flux rates| (demographic stochasticity)