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Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations
 
Edited by: Abba Gumel :  University of Maryland, College Park, MD
Softcover ISBN:  978-1-4704-7104-0
Product Code:  CONM/793
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7606-9
Product Code:  CONM/793.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7104-0
eBook: ISBN:  978-1-4704-7606-9
Product Code:  CONM/793.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Add to cart
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Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations
Edited by: Abba Gumel :  University of Maryland, College Park, MD
Softcover ISBN:  978-1-4704-7104-0
Product Code:  CONM/793
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7606-9
Product Code:  CONM/793.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7104-0
eBook ISBN:  978-1-4704-7606-9
Product Code:  CONM/793.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 793; 2024; 342 pp
    MSC: Primary 34; 37; 39; 92

    This book consists of a series of papers focusing on the mathematical and computational modeling and analysis of some real-life phenomena in the natural and engineering sciences. The book emphasizes three main themes: (i) the design and analysis of robust and dynamically-consistent nonstandard finite-difference methods for discretizing continuous-time dynamical systems arising in the natural and engineering sciences, (ii) the mathematical study of nonlinear oscillations, and (iii) the design and analysis of models for the spread and control of emerging and re-emerging infectious diseases.

    Specifically, some of the topics covered in the book include advances and challenges on the design, analysis and implementation of nonstandard finite-difference methods for approximating the solutions of continuous-time dynamical systems, the design and analysis of models for the spread and control of the COVID-19 pandemic, modeling the effect of prescribed fire and temperature on the dynamics of tick-borne disease, and the design of a novel genetic-epidemiology framework for malaria transmission dynamics and control.

    The book also covers the impact of environmental factors on diseases and microbial populations, Monod kinetics in a chemostat setting, structure and evolution of poroacoustic solitary waves, mathematics of special (periodic) functions and the numerical discretization of a phase-lagging equation with heat source.
    Readership

    Graduate students and research mathematicians interested in theoretical and computational analysis and modelling of processes arising in ecology, epidemiology, and population biology.
  • Table of Contents
     
     
    • Articles
    • Roumen Anguelov and Jean M.-S. Lubuma — A second-order nonstandard finite difference scheme and application to a model of biological and chemical processes
    • Manh Tuan Hoang — A generalized nonstandard finite difference method for a class of autonomous dynamical systems and its applications
    • Fawaz K. Alalhareth, Madhu Gupta, Hristo V. Kojouharov and Souvik Roy — Higher-order modified nonstandard finite difference methods for autonomous dynamical systems
    • Hermann J. Eberl — A simple NSFD inspired method for Monod kinetics with small half saturation constants in the chemostat setting
    • Michael Chapwanya and Phindile Dumani — Dynamics preserving nonstandard finite difference scheme for a microbial population model incorporating environmental stress
    • Treena S. Basu, Ron Buckmire, Zaheer Coovadia, Mayra Diaz, David A. Iniguez and Alexandra Scott — Using unity approximations to construct nonstandard finite difference schemes for Bernoulli differential equations
    • C. L. Shimp, J. V. Lambers and P. M. Jordan — On the structure and evolution of poroacoustic solitary waves: Finite-time gradient catastrophe under the Darcy–Jordan model
    • Cui-Cui Ji and Weizhong Dai — A fractional-order equation and its finite difference scheme for approximating a delay equation
    • Laura F. Strube and Lauren M. Childs — Multistability in a discrete-time SI epidemic model with Ricker growth: Infection-induced changes in population dynamics
    • Jemal Mohammed-Awel and Abba B. Gumel — A genetic-epidemiology modeling framework for malaria mosquitoes and disease
    • M. Adrian Acuña-Zegarra, Mario Santana-Cibrian, Carlos E. Rodriguez Hernandez-Vela, Ramsés H. Mena and Jorge X. Velasco-Hernández — A retrospective analysis of COVID-19 dynamics in Mexico and Peru: Studying hypothetical changes in the contact rate
    • Gustavo Morais Rodrigues Costa, Marcelo Lobosco, Matthias Ehrhardt and Ruy Freitas Reis — Mathematical analysis and a nonstandard scheme for a model of the immune response against COVID-19
    • Alexander Fulk and Folashade B. Agusto — Effects of rising temperature and prescribed fire on Amblyomma Americanum with ehrlichiosis
    • Elena N. Naumova, Maryam B. Yassai, Jack Gorski and Yuri N. Naumov — Modeling T-cell repertoire response to a viral infection with short immunity
    • Sandra A. Rucker — Geometric approach to the construction of Leah-type periodic functions: Basic and analytic properties
    • Isom H. Herron — Discursion on a paper of R. E. Mickens and J. E. Wilkins, Jr.
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 793; 2024; 342 pp
MSC: Primary 34; 37; 39; 92

This book consists of a series of papers focusing on the mathematical and computational modeling and analysis of some real-life phenomena in the natural and engineering sciences. The book emphasizes three main themes: (i) the design and analysis of robust and dynamically-consistent nonstandard finite-difference methods for discretizing continuous-time dynamical systems arising in the natural and engineering sciences, (ii) the mathematical study of nonlinear oscillations, and (iii) the design and analysis of models for the spread and control of emerging and re-emerging infectious diseases.

Specifically, some of the topics covered in the book include advances and challenges on the design, analysis and implementation of nonstandard finite-difference methods for approximating the solutions of continuous-time dynamical systems, the design and analysis of models for the spread and control of the COVID-19 pandemic, modeling the effect of prescribed fire and temperature on the dynamics of tick-borne disease, and the design of a novel genetic-epidemiology framework for malaria transmission dynamics and control.

The book also covers the impact of environmental factors on diseases and microbial populations, Monod kinetics in a chemostat setting, structure and evolution of poroacoustic solitary waves, mathematics of special (periodic) functions and the numerical discretization of a phase-lagging equation with heat source.
Readership

Graduate students and research mathematicians interested in theoretical and computational analysis and modelling of processes arising in ecology, epidemiology, and population biology.
  • Articles
  • Roumen Anguelov and Jean M.-S. Lubuma — A second-order nonstandard finite difference scheme and application to a model of biological and chemical processes
  • Manh Tuan Hoang — A generalized nonstandard finite difference method for a class of autonomous dynamical systems and its applications
  • Fawaz K. Alalhareth, Madhu Gupta, Hristo V. Kojouharov and Souvik Roy — Higher-order modified nonstandard finite difference methods for autonomous dynamical systems
  • Hermann J. Eberl — A simple NSFD inspired method for Monod kinetics with small half saturation constants in the chemostat setting
  • Michael Chapwanya and Phindile Dumani — Dynamics preserving nonstandard finite difference scheme for a microbial population model incorporating environmental stress
  • Treena S. Basu, Ron Buckmire, Zaheer Coovadia, Mayra Diaz, David A. Iniguez and Alexandra Scott — Using unity approximations to construct nonstandard finite difference schemes for Bernoulli differential equations
  • C. L. Shimp, J. V. Lambers and P. M. Jordan — On the structure and evolution of poroacoustic solitary waves: Finite-time gradient catastrophe under the Darcy–Jordan model
  • Cui-Cui Ji and Weizhong Dai — A fractional-order equation and its finite difference scheme for approximating a delay equation
  • Laura F. Strube and Lauren M. Childs — Multistability in a discrete-time SI epidemic model with Ricker growth: Infection-induced changes in population dynamics
  • Jemal Mohammed-Awel and Abba B. Gumel — A genetic-epidemiology modeling framework for malaria mosquitoes and disease
  • M. Adrian Acuña-Zegarra, Mario Santana-Cibrian, Carlos E. Rodriguez Hernandez-Vela, Ramsés H. Mena and Jorge X. Velasco-Hernández — A retrospective analysis of COVID-19 dynamics in Mexico and Peru: Studying hypothetical changes in the contact rate
  • Gustavo Morais Rodrigues Costa, Marcelo Lobosco, Matthias Ehrhardt and Ruy Freitas Reis — Mathematical analysis and a nonstandard scheme for a model of the immune response against COVID-19
  • Alexander Fulk and Folashade B. Agusto — Effects of rising temperature and prescribed fire on Amblyomma Americanum with ehrlichiosis
  • Elena N. Naumova, Maryam B. Yassai, Jack Gorski and Yuri N. Naumov — Modeling T-cell repertoire response to a viral infection with short immunity
  • Sandra A. Rucker — Geometric approach to the construction of Leah-type periodic functions: Basic and analytic properties
  • Isom H. Herron — Discursion on a paper of R. E. Mickens and J. E. Wilkins, Jr.
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