Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains
Harkaran Singh, PhD
Joydip Dhar, PhD

Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains

In production
Pub Date: May 2018
Hardback Price: $159.95 US
Hard ISBN: 9781771886710
Pages: Approx 350p w/Index
Binding Type: hardback
Notes: 44 color and 5 b/w illustrations

In today’s era, the spread of diseases happens very quickly as a large population migrates from one part to another of the world with the readily available transportation facilities. In this century, mankind faces even more challenging environment- and health-related problems than ever before. Therefore, studies on the spread of the communicable diseases are very important. This book, Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains, provides a useful experimental tool in making practical predictions, building and testing theories, answering specific questions, determining sensitivities of the parameters, devising control strategies, and much more.

This new volume focuses on the study of population dynamics with special emphasis on the migration of populations in a heterogeneous patchy habitat, the human and animal population, and the spreading of epidemics, an important area of research in mathematical biology dealing with the survival of different species. The volume also provides the background needed to interpret, construct, and analyze a wide variety of mathematical models. Most of the techniques presented in the book can be readily applied to model other phenomena, in biology as well as in other disciplines.

The studies presented here on the prey-predator models can be helpful for conservation strategies in forestry habitats, and the epidemic model studies can helpful to the public health policymakers in determining how to control the rapid outbreak of infectious diseases. In this book, the authors have proposed eleven different models in order to facilitate understanding:

  • Two models with different prey-predator interactions
  • Four population models with diffusion in a two-patch environment
  • One prey-predator model with disease in the prey
  • Four epidemic models with different control strategies.
This book will be of interest to interdisciplinary researchers and policymakers, especially mathematical biologists, biologists, physicists, and epidemiologists. The book can be useful as textbook or reference book for graduate and postgraduate advanced level mathematical biology courses.


1. Introduction and Mathematical Preliminaries

2. Discrete-Time Bifurcation Behavior of a Prey-Predator System with a Generalized Predator

3. A Single Species Harvesting Model with Diffusion in a Two-Patch Habitat

4. A Single Species Model with a Supplementary Forest Resource in a Two-Patch Habitat

5. A Two-Competing Species Model with Diffusion in a Homogeneous and Two-Patch Forest Habitats

6. A Competing Species Model with Diffusion in Two-Patch Habitat with a Common Supplementary Resource

7. Dynamics of a Prey and Generalized-Predator System with Disease in Prey and Gestation Delay for Predator in Single Patch Habitat

8. An Epidemic Model of Childhood Disease Dynamics with Maturation Delay and Latent Period of Infection

9. Bifurcation in Disease Dynamics with Latent Period of Infection and Media Awareness

10. Continuous and Discrete Dynamics of SIRS Epidemic Model with Media Awareness

11. Dynamics of SEIRVS Epidemic Model with Temporary Disease Induced Immunity and Media Awareness


About the Authors / Editors:
Harkaran Singh, PhD
Associate Professor, Khalsa College of Engineering and Technology, Amritsar, India

Harkaran Singh, PhD, is an Associate Professor at Khalsa College of Engineering and Technology, Amritsar, India. He has 16 years of experience in teaching and six years of experience in research. He received an award for “Young Investigator from India and Southeast Asia” from the International Society of Infectious Diseases at the 17th International Congress on Infectious Diseases held at Hyderabad, India. He has published several research papers in peer-reviewed journals. He obtained his PhD degree in Mathematical Modeling in Population Biology from IKG-Punjab Technical University, Kapurthala, India.

Joydip Dhar, PhD
Associate Professor, ABV-Indian Institute of Information Technology and Management, Madhya Pradesh, India

Joydip Dhar, PhD, is an Associate Professor at the ABV-Indian Institute of Information Technology and Management, Gwalior, India. He has been associated with the teaching profession and research for the past 21 years and has also published about 125 papers in his areas of interest and proficiency in internationally reputed journals. He has guided eight PhD students and several MTech and MBA theses. Currently eight students are pursuing PhDs under his guidance. Dr. Dhar has delivered more than 50 invited lectures at different universities and institutions in India and abroad, including the UK and Sweden. He has co-authored a research book and has conducted several conferences and short-term courses. A life member of many professional societies (ISTE, IMS, ISMMACS) and an annual member of the American Mathematical Society (AMS), Dr. Dhar has participated in the prestigious ACM-ICPC world finals as a mentor at Stockholm, Sweden 2009. He was the recipient of a Dewang Mehta National Education Award, among other awards. Recently he attended a prestigious 8-day in-residence program for Inspired Teachers at Rashtrapati Bhavan, which is the highest recognition for any central government institution teacher.

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