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10.3934/mbe.2021159 http://scihub22266oqcxt.onion/10.3934/mbe.2021159 34198381!ä!34198381 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534       Math+Biosci+Eng 2021 ; 18 (4): 3197-3214 Nephropedia Template TP {{tp|p=34198381|t=2021. Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19 |pdf=|usr=}}{{34198381}} gab.com Text Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19 JO: Math Biosci Eng http://www.kidney.de/pget.php?&tw=1&pmid=34198381 #FOAvip On the basis of the SIQR epidemic model, we consider the impact of treatment time on the epidemic situation, and we present a differential equation model with time-delay according to the characteristics of COVID-19. Firstly, we analyze the existence and stability of the equilibria in the modified COVID-19 epidemic model. Secondly, we analyze the existence of Hopf bifurcation, and derive the normal form of Hopf bifurcation by using the multiple time scales method. Then, we determine the direction of Hopf bifurcation and the stability of bifurcating periodic solutions. Finally, we carry out numerical simulations to verify the correctness of theoretical analysis with actual parameters, and show conclusions associated with the critical treatment time and the effect on epidemic for treatment time. Twit Text FOAVip Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19 ????Math Biosci Eng http://www.kidney.de/pget.php?&tw=1&pmid=34198381 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=34198381 #FOAvip English Wikipedia <ref>{{Cite pmid|34198381}}</ref> Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19 #MMPMID34198381 Lu H; Ding Y; Gong S; Wang S Math Biosci Eng 2021[Apr]; 18 (4): 3197-3214 PMID34198381show ga On the basis of the SIQR epidemic model, we consider the impact of treatment time on the epidemic situation, and we present a differential equation model with time-delay according to the characteristics of COVID-19. Firstly, we analyze the existence and stability of the equilibria in the modified COVID-19 epidemic model. Secondly, we analyze the existence of Hopf bifurcation, and derive the normal form of Hopf bifurcation by using the multiple time scales method. Then, we determine the direction of Hopf bifurcation and the stability of bifurcating periodic solutions. Finally, we carry out numerical simulations to verify the correctness of theoretical analysis with actual parameters, and show conclusions associated with the critical treatment time and the effect on epidemic for treatment time. |*COVID-19[MESH] |*Models, Biological[MESH] |Computer Simulation[MESH] |Humans[MESH] |Pandemics[MESH]Mathematical modeling and dynamic analysis of SIQR model with delay fo(epmc).pdf DeepDyve Pubget Overpricing