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10.1186/s13662-020-03192-w http://scihub22266oqcxt.onion/10.1186/s13662-020-03192-w 33424955!7779337!33424955     free     free     free Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 243.2 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 243.2 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534       Adv+Differ+Equ 2021 ; 2021 (1): 2 Nephropedia Template TP {{tp|p=33424955|t=2021. Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis |pdf=|usr=}}{{33424955}} gab.com Text Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis JO: Adv Differ Equ http://www.kidney.de/pget.php?&tw=1&pmid=33424955 #FOAvip In this paper, we study and analyze the susceptible-infectious-removed (SIR) dynamics considering the effect of health system. We consider a general incidence rate function and the recovery rate as functions of the number of hospital beds. We prove the existence, uniqueness, and boundedness of the model. We investigate all possible steady-state solutions of the model and their stability. The analysis shows that the free steady state is locally stable when the basic reproduction number R0 is less than unity and unstable when R0 > 1 . The analysis shows that the phenomenon of backward bifurcation occurs when R0 < 1 . Then we investigate the model using the concept of fractional differential operator. Finally, we perform numerical simulations to illustrate the theoretical analysis and study the effect of the parameters on the model for various fractional orders. Twit Text FOAVip Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis ????Adv Differ Equ http://www.kidney.de/pget.php?&tw=1&pmid=33424955 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=33424955 #FOAvip English Wikipedia <ref>{{Cite pmid|33424955}}</ref> Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis #MMPMID33424955 Alqahtani RT Adv Differ Equ 2021[]; 2021 (1): 2 PMID33424955show ga In this paper, we study and analyze the susceptible-infectious-removed (SIR) dynamics considering the effect of health system. We consider a general incidence rate function and the recovery rate as functions of the number of hospital beds. We prove the existence, uniqueness, and boundedness of the model. We investigate all possible steady-state solutions of the model and their stability. The analysis shows that the free steady state is locally stable when the basic reproduction number R0 is less than unity and unstable when R0 > 1 . The analysis shows that the phenomenon of backward bifurcation occurs when R0 < 1 . Then we investigate the model using the concept of fractional differential operator. Finally, we perform numerical simulations to illustrate the theoretical analysis and study the effect of the parameters on the model for various fractional orders. äMathematical model of SIR epidemic system (COVID-19) with fractional d(epmc).pdf DeepDyve Pubget Overpricing