dS = -options.InfectionRate * S * I / N - options.VaccinationRate * S / N + options.ImmunisationLossRate * R + options.NatalityRate - options.NaturalDeathRate * S/N;
dS = -options.InfectionRate * S * I/N - options.VaccinationRate * S + options.ImmunisationLossRate * R + options.NatalityRate - options.NaturalDeathRate * S;
dI = options.InfectionRate * S * I/N - options.ImmunisationRate * I - options.DeathRate * I;
dR = options.ImmunisationRate * I + options.VaccinationRate * S / N - options.ImmunisationLossRate * R - options.NaturalDeathRate * R/N;
dR = options.ImmunisationRate * I + options.VaccinationRate * S - options.ImmunisationLossRate * R - options.NaturalDeathRate * R;