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10.1007/s11071-021-06248-y

http://scihub22266oqcxt.onion/10.1007/s11071-021-06248-y
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33551570!7849229!33551570
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suck abstract from ncbi


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pmid33551570      Nonlinear+Dyn 2021 ; 103 (3): 2955-2971
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  • Exactly solvable SIR models, their extensions and their application to sensitive pandemic forecasting #MMPMID33551570
  • Sadurni E; Luna-Acosta G
  • Nonlinear Dyn 2021[]; 103 (3): 2955-2971 PMID33551570show ga
  • The classic SIR model of epidemic dynamics is solved completely by quadratures, including a time integral transform expanded in a series of incomplete gamma functions. The model is also generalized to arbitrary time-dependent infection rates and solved explicitly when the control parameter depends on the accumulated infections at time t. Numerical results are presented by way of comparison. Autonomous and non-autonomous generalizations of SIR for interacting regions are also considered, including non-separability for two or more interacting regions. A reduction of simple SIR models to one variable leads us to a generalized logistic model, Richards model, which we use to fit Mexico's COVID-19 data up to day number 134. Forecasting scenarios resulting from various fittings are discussed. A critique to the applicability of these models to current pandemic outbreaks in terms of robustness is provided. Finally, we obtain the bifurcation diagram for a discretized version of Richards model, displaying period doubling bifurcation to chaos.
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