國立虎尾科技大學 |

Delay Differential Equations and Applications to Biology

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Delay Differential Equations and Applications to Biology/ by Fathalla A. Rihan.
Author:	Rihan, Fathalla A.
Description:	XVII, 286 p. 84 illus., 62 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis. -
Online resource:	https://doi.org/10.1007/978-981-16-0626-7
ISBN:	9789811606267

Delay Differential Equations and Applications to Biology
Rihan, Fathalla A.

Delay Differential Equations and Applications to Biology[electronic resource] /by Fathalla A. Rihan. - 1st ed. 2021. - XVII, 286 p. 84 illus., 62 illus. in color.online resource. - Forum for Interdisciplinary Mathematics,2364-6756. - Forum for Interdisciplinary Mathematics,2.

Part I Qualitative and Quantitative Features of Delay Differential Equations: 1. Delay Differential Equations -- 2. Numerical Solutions of Delay Differential Equations -- 3. Stability Concepts of Numerical Solutions of Delay Differential Equations -- 4. Parameter Estimation with Delay Differential Equations -- Part II Applications of Delay Differential Equations: 5. Delay Differential Equations with Infectious Diseases -- 6. Delay Differential Equations with Cell Growth Dynamics -- 7. Delay Differential Equations with Tumour-Immure Interactions and External Treatments -- 8. Delay Differential Equations with Ecological Systems -- 9. Fractional-Order Delay Differential Equations with Applications -- 10. Sensitivity Analysis.

This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also provides interesting applications of delay differential equations in infectious diseases, including COVID-19. It will be valuable to mathematicians and specialists associated with mathematical biology, mathematical modelling, life sciences, immunology and infectious diseases.

ISBN: 9789811606267

Standard No.: 10.1007/978-981-16-0626-7doiSubjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

Delay Differential Equations and Applications to Biology
LDR:02807nam a22004095i 4500 001 1047261
003 DE-He213
005 20210819215433.0
007 cr nn 008mamaa
008 220103s2021 si | s |||| 0|eng d
020 $a 9789811606267 $9 978-981-16-0626-7
024 7 $a 10.1007/978-981-16-0626-7 $2 doi
035 $a 978-981-16-0626-7
050 4 $a QA299.6-433
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515 $2 23
100 1 $a Rihan, Fathalla A. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1350951
245 1 0 $a Delay Differential Equations and Applications to Biology $h [electronic resource] / $c by Fathalla A. Rihan.
250 $a 1st ed. 2021.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2021.
300 $a XVII, 286 p. 84 illus., 62 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Forum for Interdisciplinary Mathematics, $x 2364-6756
505 0 $a Part I Qualitative and Quantitative Features of Delay Differential Equations: 1. Delay Differential Equations -- 2. Numerical Solutions of Delay Differential Equations -- 3. Stability Concepts of Numerical Solutions of Delay Differential Equations -- 4. Parameter Estimation with Delay Differential Equations -- Part II Applications of Delay Differential Equations: 5. Delay Differential Equations with Infectious Diseases -- 6. Delay Differential Equations with Cell Growth Dynamics -- 7. Delay Differential Equations with Tumour-Immure Interactions and External Treatments -- 8. Delay Differential Equations with Ecological Systems -- 9. Fractional-Order Delay Differential Equations with Applications -- 10. Sensitivity Analysis.
520 $a This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also provides interesting applications of delay differential equations in infectious diseases, including COVID-19. It will be valuable to mathematicians and specialists associated with mathematical biology, mathematical modelling, life sciences, immunology and infectious diseases.
650 0 $a Mathematical analysis. $3 527926
650 0 $a Analysis (Mathematics). $3 1253570
650 0 $a Integral equations. $3 527971
650 1 4 $a Analysis. $3 669490
650 2 4 $a Integral Equations. $3 672359
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811606250
776 0 8 $i Printed edition: $z 9789811606274
776 0 8 $i Printed edition: $z 9789811606281
830 0 $a Forum for Interdisciplinary Mathematics, $x 2364-6748 ; $v 2 $3 1261985
856 4 0 $u https://doi.org/10.1007/978-981-16-0626-7
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)