From a99417d4a9af83e5fca13ee2e852963da204ca54 Mon Sep 17 00:00:00 2001 From: "E. Cheynet" Date: Mon, 15 Feb 2021 18:34:45 +0100 Subject: [PATCH] Add files via upload Updated the examples + the function to fit multiple waves --- Example_Country.mlx | Bin 104504 -> 89786 bytes Example_US_cities.mlx | Bin 650146 -> 653538 bytes ItalianRegions.mlx | Bin 400172 -> 462224 bytes getMultipleWaves.m | 122 ++++++++++++++++++++++++++++++++------ simulateMultipleWaves.mlx | Bin 280022 -> 47914 bytes 5 files changed, 103 insertions(+), 19 deletions(-) diff --git a/Example_Country.mlx b/Example_Country.mlx index 61d64c949548f5ade4eb91637ce98a1fdb78da4d..e95b7a46f88b6c5c5a7cab1f4c103c519c3b4177 100644 GIT binary patch delta 88510 zcmV)(K#RY)um-xl1+cXO5=o0sQlP7P8RrQA09POY022V0kd^@zliUIlf8xZk6s2_~ zJMmrW*s|06;PZGO5|U7nAPa!D)lToX-!4c|kfYd2vzqTdMHL4z<6Wic1ie&f@{(a!6}_ix|acH=B6QYJJ3dZD_v{l-k|yzBcanz59s zc9t^%bCXP_RKus7`nQ>ke{-2dOetWOCVnRfUim5IqJb>OS-ik!ZhlUsd7SG-!pLp+ zh9>=n<~m^wA18i^mV*hKXdLtFMdK`+r&P|*HI*931Wj4L@zcMqFRu4GFN1K{IcmT# zkNXX4#IQB%_1nWcn&t`XlEKHHkB2**AlxT0)s(N^K3ap7g 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getMultipleWaves(guess,Npop,time,Confirmed,Recovered,Deaths,tStart1,tStart2,tEnd) % simulate the number of recovered, deaths and active cases for the % situation were two epidemic waves occur -% +% % Inputs: % guess: double [1x10]: Initial guess for the fitting algorithm % Npop: double [1x1]: Population % time: datetime: [1xN]: time array -% Confirmed: double [1xN]: Time histories of the confirmed cases (Active+recovered+deaths) -% Deaths: double [1xN]: Time histories of the deceased cases -% Recovered: double [1xN]: Time histories of the recovered cases +% Confirmed: double [1xN]: Time histories of the confirmed cases (Active+recovered+deaths) +% Deaths: double [1xN]: Time histories of the deceased cases +% Recovered: double [1xN]: Time histories of the recovered cases % tStart1: datetime [1x1]: Initial time for the first wave % tStart2: datetime [1x1]: Initial time for the second wave % tEnd: datetime [1x1]: Final time for the simulation % Q0: datetime [1x1]: Initial number of quarantined cases % E0: datetime [1x1]: Initial number of exposed cases % I0: datetime [1x1]: Initial number of infectious cases -% +% % Outputs -% Q: double [1xN1]: Time histories of the quarantined/active cases -% D: double [1xN1]: Time histories of the deceased cases -% R: double [1xN1]: Time histories of the recovered cases +% Q: double [1xN1]: Time histories of the quarantined/active cases +% D: double [1xN1]: Time histories of the deceased cases +% R: double [1xN1]: Time histories of the recovered cases % T: datetime: [1xN1]: time array -% +% % Author: E. Cheynet - UiB - last modified: 07-05-2020 -% +% % see also SEIQRDP.m fit_SEIQRDP.m +%% varargin + +Active = Confirmed-Recovered-Deaths; +Active(Active<0) = 0; % No negative number possible + +%% Inputparseer +p = inputParser(); +p.CaseSensitive = false; +p.addOptional('Q0',Active(1)); +p.addOptional('E0',0.3*Active(1)); +p.addOptional('I0',5*Active(1)); +p.parse(varargin{:}); +%%%%%%%%%%%%%%%%%%%%%%%%%% +Q0 = p.Results.Q0 ; % initial number of active cases +E0 = p.Results.E0 ; % Initial number of exposed cases. Unknown but unlikely to be zero. +I0 = p.Results.I0 ; % Initial number of infectious cases. Unknown but unlikely to be zero. + + + + + %% Remove unecessary data Confirmed(time=tStart1 & time1e5 + + R0 = Recovered(indT1(1)); + D0 = Deaths(indT1(1)); + [E1,I1,Q1,R1,D1,T1] = computeWave(Active(indT1),Recovered(indT1),... + Deaths(indT1),E0,newI0(count),Q0,R0,D0,time(indT1),tStart1,tStart2,guess); + % Simulate second wave + E0 = E1(end); I0 = I1(end); Q0 = Q1(end); R0 = R1(end); + D0 = D1(end); + [~,~,Q2,R2,D2,T2] = computeWave(Active(indT2),Recovered(indT2),... + Deaths(indT2),E0,I0,Q0,R0,D0,time(indT2),tStart2,tEnd,guess); + % Concatenate outputs + Q = [Q1,Q2]; + R = [R1,R2]; + D = [D1,D2]; + T= [T1,T2]; + count = count+1; + [~,ind] = unique(T); + newQ = interp1(T(ind),Q(ind),time); + [rmse] = RMSE(Active(~isnan(newQ)),newQ(~isnan(newQ))); + + if rmse <1e5, + fprintf('Fitting succeded. Check the initial value of E0 and I0 \n'); + Q = [Q1,Q2]; + R = [R1,R2]; + D = [D1,D2]; + T= [T1,T2]; + return + end + if count >=numel(newI0) + warning('Fitting failed. Check the initial value of E0 and I0'); + Q = [Q1,Q2]; + R = [R1,R2]; + D = [D1,D2]; + T= [T1,T2]; + return + end + +end + +plot(time,newQ,time,Active) %% Nested functions function [E,I,Q,R,D,newT] = computeWave(Active,Recovered,Deaths,E0,I0,Q0,R0,D0,time,tStart,tEnd,guess) @@ -81,6 +160,11 @@ Npop,E0,I0,Q0,R0,D0,t,lambdaFun,kappaFun); end + function [rmse] = RMSE(y1,y2) + + rmse = sqrt(nanmean((y1(:)-y2(:)).^2)); + + end end diff --git a/simulateMultipleWaves.mlx b/simulateMultipleWaves.mlx index 75fd2752d5fc4c68905372190481c3dbd3bc2c05..29417f4a55d17a2a6d19197b12f81deef9b78875 100644 GIT binary patch delta 46353 zcmV(&K;ggEixH~!0CQCZ*J&MNx?z+lqX3B>Un{UTyX6gX_saBqZVt5OVTQf7CxZJbnGLdFlr!R3fCzwg|Q^ z_t!JQFO$!&Gt?yOIpo@uhPO}DJiFhN5LWDiQ2T3A{SC#o+gUp#Bw$1e0p^OZdzt_! zcqZI)mI87J{!bQ>tFwzslE{b&0%Ww%63Uo|px@HKe+rOjxdIhH#yg$@I6^GRDCQ~c zl2h{o1!pG$ESaB0MRX*j)1<1E7RMln(KfWPCa~?ZUximdk|vO~xsC zCo^DDq)53zdc7pq!A+M;B)MfQGv^_~6q;ft5vquS1kw1ANdWI@WvQV8bfI&urH<5fgi#v_*S(B2o| 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