Epidemiological Processes in the Biological and Social Sciences: Stochastic Hierarchical Complex Dynamic Network-Centric Models

The recent advent of rapid technological changes, scientific developments, and educational expansions have created complex heterogeneities, environmental uncertainties, and socio-economic-ecological inequalities globally. The innovative beneficial resources upgrade and update the existing varieties of structural features such as hereditary, random environmental, spatial and atmospheric perturbations in human population dynamics processes and predator-prey systems. The highly interconnected system under operating random environmental conditions is represented by nonlinear nonstationary large-scale multi-level hierarchical network-centric dynamic processes of Ito-Doob and finite Markovian types with network-centric structural perturbations. For instance, complex spatial, behavioral, and epidemiological structures in human populations vary from citizen to visitor; practicing and adhering to different disease preventive measures at sites in meta-populations; and different ages, stages and resistance levels to infections, respectively. An advantage of the presented results in simple algebraic system parameters form is easy verification and application to planning, prevention, policies, stabilization, monitoring and diseases management.

Dr.Divine Wanduku is Associate Professor of Statistics and Director of Statistical Consulting Unit in the Department of Mathematical Sciences at Georgia Southern University. He is also Associate Editor of the Journal of Stochastic Analysis and Applications with Taylor Francis, and member on editorial boards of other reputable mathematics and statistics journals. His research interests are in the areas of Stochastic Analysis and Applications; Reliability and Survival Analysis; Statistical Inference, Biostatistics and Mathematical Biology. He has authored numerous articles in peer-reviewed statistics and mathematical sciences journals, and co-edited proceedings of international conferences.

Dr. Gangaram S. Ladde is a Professor of Mathematics and Statistics at the University of South Florida (since 2007). Prior to that he was Professor of Mathematics at the University of Texas at Arlington (1980-2007). He received his Ph.D. in Mathematics from the University of Rhode Island in 1972. He has published more than 190 peer-reviewed articles, co-authored four monographs, and co-edited six proceedings of international conferences, including (1) Introduction to Differential Equations: Stochastic Modeling, Methods and Analysis (with Anil G. Ladde) Volume-2, World Scientific Publishing Company, Singapore, 2013), (2) Stochastic versus Deterministic Systems of Differential Equations (with M. Sambandham, Marcel Dekker, Inc, New York, 2004) and (3) Random Differential Inequalities (with V. Lakshmikantham, Academic Press, New York, 1980). Professor Ladde is the Founder and joint Editor-in-Chief (1983-present) of the Journal of Stochastic Analysis and Applications. He is also a member of the Editorial Board of several journals in the Mathematical Sciences and the recipient of several research awards and grants. Recently, Dr. Ladde research team’s innovative research work is technologically transferred as: United States Patent in 2021, another work is pending.

Dr.Jay Ladde, is an emergency medicine physician in Orlando, Florida. He is the Senior Associate Program Director of Emergency Medicine, Orlando Health, Orlando, Florida. Prior to this, he was the Associate Program Director of Emergency Medicine at the Orland, Regional Medical Center, Orlando, Florida. He received his medical degree (MD) from Baylor College of Medicine, Houston, Texas, and has been in practice for more than 20 years. Dr. Ladde has held faculty appointments at various universities. He is currently a Clinical. Professor at the University of Central Florida, Orlando, Florida. He is the chair of the Florida. College of Emergency Physicians Council of Residencies Committee and co-chair of the Florida College of Emergency Physicians Education and Academic Affairs Committee. Dr.Ladde has published several peer-reviewed articles in reputable medical journals.