// Created by libAntimony v2.13.0
function Function_for_Susceptible_Individual_Transmission(beta, I, S)
  beta*I*S;
end

Function_for_Susceptible_Individual_Transmission is "Function_for_Susceptible_Individual_Transmission"

function Function_for_Vaccinated_Population_Growth(r, V_e, A)
  r*(1 - V_e/A);
end

Function_for_Vaccinated_Population_Growth is "Function_for_Vaccinated_Population_Growth"

function Function_for_Vaccinated_Population_Infection(k, I, V)
  k*I*V;
end

Function_for_Vaccinated_Population_Infection is "Function_for_Vaccinated_Population_Infection"


model *Ho2019___Mathematical_models_of_transmission_dynamics_and_vaccine_strategies_in_Hong_Kong_during_the_2017_2018_winter_influenza_season__Simple()

  // Compartments and Species:
  compartment compartment_;
  species S in compartment_, V in compartment_, V_e in compartment_, I in compartment_;
  species R in compartment_;

  // Assignment Rules:
  k := ModelValue_3*(1 - ModelValue_5);
  fraction_S := S/fraction_total;
  fraction_total := I + R + S + V + V_e;
  fraction_V := V/fraction_total;
  fraction_I := I/fraction_total;
  fraction_R := R/fraction_total;

  // Reactions:
  Susceptible_Individual_Transmission: S => I; compartment_*Function_for_Susceptible_Individual_Transmission(beta, I, S);
  Vaccinated_Population_Growth: S => V + V_e; compartment_*Function_for_Vaccinated_Population_Growth(r, V_e, A);
  Vaccinated_Population_Infection: V => I; compartment_*Function_for_Vaccinated_Population_Infection(k, I, V);
  Infected_Recovery: I => R; compartment_*gamma_*I;

  // Species initializations:
  S = 0.9424;
  V = 0.0565;
  V_e = 0.0565;
  I = 0.0012;
  R = 0;

  // Compartment initializations:
  compartment_ = 1;

  // Variable initializations:
  alpha = 127;
  r = 0.0155;
  A = 0.1155;
  beta = 2.7516;
  gamma_ = 2.1272;
  w = 0.45;
  ModelValue_3 = beta;
  ModelValue_5 = w;
  T = 3.29;
  R_0 = 1.2935;
  R_0_x = 1.2607;

  // Other declarations:
  var k, fraction_S, fraction_total, fraction_V, fraction_I, fraction_R;
  const compartment_, alpha, r, A, beta, gamma_, w, ModelValue_3, ModelValue_5;
  const T, R_0, R_0_x;

  // Unit definitions:
  unit volume = 1e-3 litre;
  unit substance = item;

  // Display Names:
  compartment_ is "compartment";
  gamma_ is "gamma";
  ModelValue_3 is "Initial for beta";
  ModelValue_5 is "Initial for w";

  // CV terms:
  S identity "http://identifiers.org/ncit/C17005"
  S property "http://identifiers.org/ncit/C16505"
  V identity "http://identifiers.org/ncit/C17005"
  V property "http://identifiers.org/ncit/C28385"
  V_e identity "http://identifiers.org/ncit/C17005"
  V_e property "http://identifiers.org/ncit/C49287"
  V_e property "http://identifiers.org/ncit/C28385"
  I identity "http://identifiers.org/ncit/C17005"
  I property "http://identifiers.org/efo/0001669"
  R identity "http://identifiers.org/ncit/C17005"
  R property "http://identifiers.org/efo/0009785"
  Susceptible_Individual_Transmission hypernym "http://identifiers.org/ncit/C3439"
  Vaccinated_Population_Growth hypernym "http://identifiers.org/ncit/C15346"
  Vaccinated_Population_Infection hypernym "http://identifiers.org/ncit/C3439"
  Infected_Recovery hypernym "http://identifiers.org/ncit/C25746"
end

Ho2019___Mathematical_models_of_transmission_dynamics_and_vaccine_strategies_in_Hong_Kong_during_the_2017_2018_winter_influenza_season__Simple is "Ho2019 - Mathematical models of transmission dynamics and vaccine strategies in Hong Kong during the 2017-2018 winter influenza season (Simple)"

Ho2019___Mathematical_models_of_transmission_dynamics_and_vaccine_strategies_in_Hong_Kong_during_the_2017_2018_winter_influenza_season__Simple description "http://identifiers.org/pubmed/31128142"
Ho2019___Mathematical_models_of_transmission_dynamics_and_vaccine_strategies_in_Hong_Kong_during_the_2017_2018_winter_influenza_season__Simple model_entity_is "http://identifiers.org/biomodels.db/MODEL1911120003",
                                                                                                                                                               "http://identifiers.org/biomodels.db/BIOMD0000000851"
Ho2019___Mathematical_models_of_transmission_dynamics_and_vaccine_strategies_in_Hong_Kong_during_the_2017_2018_winter_influenza_season__Simple property "http://identifiers.org/ncit/C71292"
Ho2019___Mathematical_models_of_transmission_dynamics_and_vaccine_strategies_in_Hong_Kong_during_the_2017_2018_winter_influenza_season__Simple property "http://identifiers.org/ncit/C53482"
Ho2019___Mathematical_models_of_transmission_dynamics_and_vaccine_strategies_in_Hong_Kong_during_the_2017_2018_winter_influenza_season__Simple property "http://identifiers.org/mamo/MAMO_0000046"
