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fun_model_parameter_ranges.m
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fun_model_parameter_ranges.m
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function [parameters_info, prms_str] = fun_model_parameter_ranges
% % FUNCTION: MODEL_PARAMETER_RANGES
% % AUTHOR: Fabian Santiago
% % EMAIL: fsantiago3@ucmerced.edu
% % UPDATE: 10/27/2022
% % DESCRIPTION: Parameter values and their ranges. See Table 1 in main
% % manuscript. Each ROW represents ONE parameter and has the
% % following form: [flag1 lower_bound upper_bound flag2]
% % flag1 := Compute sensitivity of parameter (true/false)
% % lower_bound := Parameter lower bound
% % upper_bound := Parameter upper bound
% % flag2 := Convert from days to hourly rate (true/false)
% % NOTE: If flag1 is set to false, then the lower_bound value is
% % used as the model parameter value.
% %
% % ABBREVIATIONS:
% % U: undergraduates living off campus
% % D: undergraduates living in the doorms
% % G: graduate students
% % F: faculty and staff
parameters_info = [... % [SA_Bool a b Days_Bool]
% CONTACT MULTIPLIERS: multiplies contacts with:
false 1.00 1.00 false;... % [~] U
false 1.00 1.00 false;... % [~] D
true 1.00 10.00 false;... % [c] Community
% PERCENTAGE OF MERCED COMMUNITY INFECTIONS: (M = pS + pA)
true 0.00 0.005 false;... % [pS] Symptomatic
false 0.01 0.005 false;... % [pA] Asymptomatic
% SOCIAL CONTACT PARAMETERS
false 0.75 0.75 false;... % [~] Frac of time socializing
true 0.50 1.50 false;... % [p] Social percentage
true 1.00 10.00 false;... % [w] Weekend multiplier
% INFECTION PARAMETERS
true 1.50 6.50 false;... % [beta] Transmission rate
true 0.40 1.00 false;... % [m] 1-m reduction in beta by wearing masks
false 0.50 0.50 false;... % [~] Infection transmission probability of asymptomatics
% Expected Time in Exposed State (varied once and assumed equal for each subpopulation)
true 1.00 7.50 true;... % [sigma] U
false 1.00 7.50 true;... % [sigma] D
false 1.00 7.50 true;... % [sigma] G
false 1.00 7.50 true;... % [sigma] F
% Probability of Becoming Asymptomatic
true 0.20 0.80 false;... % [phi] U
false 0.50 0.50 false;... % [phi] U
false 0.50 0.50 false;... % [phi] G
false 0.50 0.50 false;... % [phi] F
% Expected time in the symptomatic state
% before voluntary self-isolation
false 2.00 2.00 true;... % [~] U
false 2.00 2.00 true;... % [~] D
false 2.00 2.00 true;... % [~] G
false 2.00 2.00 true;... % [~] F
% Expected duration in the asymptomatic infectious state
false 14.00 14.00 true;... % [~] U
false 14.00 14.00 true;... % [~] D
false 14.00 14.00 true;... % [~] G
false 14.00 14.00 true;... % [~] F
% Probability of a symptomatic individual will self-isolate
true 0.00 1.00 false;... % [alpha] U
false 0.50 1.00 false;... % [alpha] D
false 0.50 1.00 false;... % [alpha] G
false 0.50 1.00 false;... % [alpha] F
% INITIAL CONDITIONS/INITIALLY INFECTED
true 0.00 0.50 false;... % [v_{us,0}] symptomatic infected U
true 0.00 0.50 false;... % [v_{ua,0}] asymptomatic infected U
true 0.00 0.50 false;... % [v_{da,0}] symptomatic infected D
true 0.00 0.50 false;... % [v_{ds,0}] asymptomatic infected D
% Graduate students
true 0.00 0.50 false;... % [v_{gs,0}] symptomatic infected G
true 0.00 0.50 false;... % [v_{ga,0}] asymptomatic infected G
% Faculty and staff
true 0.00 0.50 false;... % [v_{fs,0}] symptomatic infected F
true 0.00 0.50 false;... % [v_{fa,0}] asymptomatic infected F
% IMMUNITY DURATION (ADDITIONAL INFECTION PARAMETERS)
true 90 270 true;... % [tR] Length of natural immunity
true 180 270 true;... % [tV] Length of vaccine immunity
];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%% PARAMETER LABELS FOR FIGURES IN PAPER %%%%%%%%%%%%%%%%%%%%
% The notation (a:b) indicate the index number for their position in the
% prms_info object defined above.
prms_str = {... % CONTACT MULTIPLIERS
'$l_m$','$d_m$','$c$',... (1:3) [living, dorm, community]
... % COMMUNITY INFECTIONS
'$M$','$M$',... (4:5) Fraction: [Symp (M) and Asymp]
... % SOCIAL CONTACT PARAMETERS
'$f_s$','$p$','$w$',... (6:8) [social,party size,weekend x]
... % INFECTION PARAMETERS
'$\beta$','$m$',... % (9:10) [transmission, mask usage]
'$aS$',...% (11) Probability of asymptomatic infectiousness
'$\sigma$','$\sigma$','$\sigma$','$\sigma$',... % (12:15) SIGMA = 1/(Expected Time in Exposed State)
'$\phi$','$\phi$','$\phi$','$\phi$',... % (16:19) PROB of BECOMING ASYMPTIOMATIC
'$\gamma_{su}$','$\gamma_{sd}$','$\gamma_{sg}$','$\gamma_{sf}$',... % (20:23) GAMMA: 1/(Expected Time in Symptomatic State BEFORE you go to health services)
'$\gamma_{au}$','$\gamma_{ad}$','$\gamma_{ag}$','$\gamma_{af}$',... % (32:35) GAMMA: 1/(Expected Duration in Asymptomatic Infectious State)
'$\alpha$','$\alpha$','$\alpha$','$\alpha$',... %(28:31) ALPHA: Prob of symptomatic who go to Hospital HS
... % INITIAL CONDITIONS: UNDERGRADUATE STUDENTS
'$I_{u0}^s$','$I_{u0}^a$','$I_{d0}^s$','$I_{d0}^a$',... %(32:35)
... % INITIAL CONDITIONS: GRADUATE STUDENTS
'$I_{g0}^s$','$I_{g0}^a$',... %(36:37)
... % INITIAL CONDITIONS: FACULTY
'$I_{f0}^s$','$I_{f0}^a$',... %(38:39)
... % IMMUNITY DURATION PARAMETERS (natural,vax) (40:41)
'$t_R$','$t_V$',... % Natural t_R and Vaccination t_V
};