Stochastic Modeling in Physical and Biological Sciences discusses basic definitions, important properties and results on Markov Chains giving examples to understand the intricacies of the theory of Markov Chains. It elaborates continuous time stochastic processes for modeling purpose explaining in detail with examples and includes an application oriented chapter on how stochastic modeling throws light on physical sciences. Basics on branching processes and their applications are explained pedagogically with a view to develop modeling capacity in biological sciences. Queues are a ubiquitous part of everyday life. This volume throws light on the foundation for stochastic modeling on queues. Interestingly, it presents bulk service queues an offshoot of professor Medhi’s foundation on queues. A monumental and seminal contribution of Professor Neuts on matrix geometric methods is presented in a neat form. Finally, it meticulously designs some stochastic biological models and shows how stochastic modeling can project the prosperity of biological sciences.

Preface / Acknowledgements / Prof. J. Medhi: the Gyan Yogi par Excellence / Basics of Markov Chains / Continuous Time Stochastic Processes / Birth and Death Processes and Chemical Kinetics / Banching Processes and their Applications / Basics of Stochastic Queues / Bulk Services Queue – An Introduction and Overview of Current Research Trends / Matrix Geometric Method / Stochastic Processes in Biology.

Undergraduate & Postgraduate Students