This edited book provides a comprehensive framework for the integration of mathematical methodologies into biological research, emphasizing applications that directly address topics related to SDG 3 (Good Health and Well Being) and SDG 6 (Clean Water and Sanitation). From the mathematical modeling of infectious diseases to the design of smart agricultural systems, each chapter presents key global issues where mathematical analysis is a powerful tool for driving progress. This work emphasizes the importance of mathematical models in predicting outcomes, optimizing interventions and understanding the dynamics of complex biological systems.

The central theme of the book is the application of mathematical methods, ranging from deterministic models, stochastic processes, fractional calculus and machine learning algorithms to biological problems, framed in the context of sustainability. Each chapter is crafted to showcase how mathematical models not only enhance our understanding of biological phenomena but also play a pivotal role in developing solutions to global issues such as pandemics, environmental degradation and resource management.

Integrates mathematical methodologies into biological research, emphasizing applications in sustainability Provides a platform for experts from diverse fields such as mathematics, biology, and sustainable development Offers practical applications of mathematical modeling in addressing real-world challenges in achieving sustainability

Autorentext

A. A. Elsadany is Professor in the Mathematics Department, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia. Earlier, he was Associate Professor of applied mathematics at the Faculty of Computers and Informatics, Suez Canal University, Egypt, from 2016-2021, and then became Professor in January 2022. He received his B.Sc. degree in mathematics, M.Sc. and Ph.D. degrees in applied mathematics from Mansoura University, Egypt, in 1996, 2002 and 2007, respectively. Features in the top 2% of scientists list by Stanford University (2020-2023), his current research interests include applied mathematics, economic dynamics, mathematical biology, chaos, nonlinear dynamical systems and fractional calculus.

Waleed Adel is Associate Professor of applied mathematics at the French University in Egypt, since 2022. Earlier, he was Assistant Professor in the Department of Mathematics and Engineering Physics at the Faculty of Engineering, Mansoura University, Egypt, since 2019. He received his B.Sc. degree in civil engineering and the M.Sc. and Ph.D. degrees in engineering mathematics from Mansoura University, Egypt, in 2007, 2014 and 2019, respectively. With more than 80 papers published in prestigious journals and a reviewer for several international reputed journals, his current research interests include but not limited to numerical analysis for differential equations, developing novel solutions using spectral methods, computational mathematics and stability analysis for some biological models.

Yassine Sabbar is a Professor of Statistics and Applied Probability at the Faculty of Sciences and Techniques (FST), Errachidia, Moulay Ismail University, Morocco. He also holds the position of Associate Researcher with the T-IDMS Group at FST Errachidia. He earned his Ph.D. in 2021 from Sidi Mohamed Ben Abdellah University (USMBA), Fez, Morocco. His research interests span a broad range of topics, including mathematical modeling, biostatistics, and stochastic analysis.

Inhalt

Studying the Evolution of Tuberculosis: An Optimal Control Analysis of a ReactionDiffusion Model.- COVID-19 Transmission Model: Analysis and Multiple Control Strategies.- A Modified LaxWendroff Scheme for Constructing a Barycentric Interpolation Approximation of Interface Solutions.- Fractional Holling Type III Tri-Species Dynamics: Dual Fear, Prey Refuge, Intra- and Inter-Species Competitions.- Internet of Things (IoT)-Based Sustainable Agriculture: A Smart Irrigation System Using Embedded System and Web Sockets.- Mathematical Models and Methods to Real-Life Problems with Examples.- The Awareness Impact on a Delayed Stochastic Epidemic Model with Logistic Growth and Saturated Incidence.- Optimal Control of a Stochastic SVIR Model with Logistic Growth and Saturated Incidence Function.- Ergodic Properties of a Stochastic SEIS Epidemic Model with Logistic Birth and Saturated Incidence.- Investigating the Nonlinear Behavior of a PredatorPrey Model: A Bifurcation Analysis Approach.- A Mathematical Model for the Impacts of Vaccination and Quarantine on the Dynamics of Covid-19 Pandemic: Deterministic and Stochastic Analysis.- Bioheat Transfer: A Theoretical Model Development Study.- Stochastic Dynamical Analysis for a Delayed SIQS Infectious Disease Model with Lévy Jumps and Media Coverage.- On Global Convergence of Single-Step Simultaneous Scheme for Nonlinear Bagley-Torvik Fractional Differential Equation.- Artificial Neural Network Based Single-Step Method for Solving Biomedical Engineering Application.- Dynamics on Stationary Distribution and Probability Density Function of a (2 n + 2) Multi-strain Stochastic Epidemic Model.- Deep Learning Approach for Micromagnetism Modeling.- Global Dynamics of a Fractional-order Covid-19 Epidemic Model with a Nonlinear Incidence Rate.