Mathematical Sciences with Multidisciplinary Applications

1. Front Matter

   Pages i-xxvi

   PDF

2. Traveling Waves Impulses of FitzHugh Model with Diffusion and Cross-Diffusion

   • Faina Berezovskaya

   Pages 1-20

3. Local Limit Cycles of Degenerate Foci in Cubic Systems

   • Terence R. Blows

   Pages 21-27

4. Lyapunov–Schmidt and Centre Manifold Reduction Methods for Nonlocal PDEs Modelling Animal Aggregations

   • Pietro-Luciano Buono, R. Eftimie

   Pages 29-59

5. Canard Cycles with Three Breaking Mechanisms

   • Magdalena Caubergh, Robert Roussarie

   Pages 61-77

6. On the Integrability of Lotka–Volterra Equations: An Update

   • Colin Christopher, Wuria M. A. Hussein, Zhaoxia Wang

   Pages 79-89

7. Impact of Pharmacokinetic Variability on a Mechanistic Physiological Pharmacokinetic/Pharmacodynamic Model: A Case Study of Neutrophil Development, PM00104, and Filgrastim

   • Morgan Craig, Mario González-Sales, Jun Li, Fahima Nekka

   Pages 91-112

8. Asymptotic Behavior of Linear Almost Periodic Differential Equations

   • Bui Xuan Dieu, Luu Hoang Duc, Stefan Siegmund, Nguyen Van Minh

   Pages 113-132

9. A Preparation Theorem for a Class of Non-differentiable Functions with an Application to Hilbert’s 16th Problem

   • Mohamed El Morsalani, Abderaouf Mourtada

   Pages 133-177

10. Self-Inversive Cubic Curves

    • Raymond R. Fletcher

    Pages 179-215

11. Elasticity Imaging

    • Lilí Guadarrama

    Pages 217-234

12. Affine Complete Algebras

    • Gérard Kientega

    Pages 235-252

13. A Codimension-Four Singularity with Potential for Action

    • Bernd Krauskopf, Hinke M. Osinga

    Pages 253-268

14. Towards the General Theory of Global Planar Bifurcations

    • Y. Ilyashenko

    Pages 269-299

15. Slow-Fast Dynamics and Its Application to a Biological Model

    • Chengzhi Li

    Pages 301-325

16. Abelian Integrals: From the Tangential 16th Hilbert Problem to the Spherical Pendulum

    • Pavao Mardešić, Dominique Sugny, Léo Van Damme

    Pages 327-346

17. Towards a Science of Security Games

    • Thanh Hong Nguyen, Debarun Kar, Matthew Brown, Arunesh Sinha, Albert Xin Jiang, Milind Tambe

    Pages 347-381

18. Scattering of Plane Electromagnetic Waves by Radially Inhomogeneous Spheres: Asymptotics and Special Functions

    • Michael A. Pohrivchak, John A. Adam, Umaporn Nuntaplook

    Pages 383-417

19. An Introduction to Symplectic Coordinates

    • M. Aĺvarez-Ramírez, Rodríguez José Antonio García

    Pages 419-429

20. Parallelized Solution of Banded Linear Systems with an Introduction to p-adic Computation

    • Anthony A. Ruffa, Michael A. Jandron, Bourama Toni

    Pages 431-464

This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. 

 

This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.

• travelling waves
• limit cycles
• aggregation dynamics
• Canard cycles
• physiological pharmacology
• almost periodicity
• hyperbolic polycycles
• cubic curves
• elasticity imaging
• affine algebras
• slow-fast dynamic
• coalescing points
• planar bifurcations
• symplectic coordinates
• mixture regression
• genetic vulnerability
• inhomogeneous spheres
• security games
• abelian integrals

• Dept of Mathematics and Economics, Virginia State University, Petersburg, USA

  Bourama Toni

Bourama Toni is a Professor of Mathematics in the College of Engineering and Technology at Virginia State University. He received his PhD from the University of Montreal, and his research interests include bifurcation theory, abstract differential equations in Banach and Hilbert spaces, quasi-limit cycles, mathematical modeling in biosciences, and game & utility Theory.

Policies and ethics