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Biography

Prof.  Gul  Zaman
Department of Mathematics, Malakand University,  Pakistan

Title: Mathematical Modelling and Control of Multiple Infectious Diseases

Abstract:

We developed a multiple infectious model represents the co-infection of Dengue, Ebola and Malaria. The model's qualitative behaviors, such as the solution's positivity, exis- tence, points of equilibrium, reproduction number, and sensitivity analysis are investi- gated. We show that if the basic reproduction number is maintained at less than one, the disease-free equilibrium of multiple infectious is locally asymptotically stable. We also show that single infected individual is easily exposed to other co-infection in the community. Sensitivity analysis is used to determine how each parameter a ects the spread or control of the illnesses. Utilizing a numerical simulation, the consequences of treating patients who are co-infected, only infected with Malaria, or just infected with Dengue have been determined. Similarly the only infected in Ebola with Dengue and Malaria are also presented. The framework for world stability has been built. In order to e ectively combat Dengue, Malaria, Ebola and their co-infection in the community, it is important to increase the pace of recovery and decrease the contact rate of these diseases. 

Keywords: Multiple Infection, Malaria, Dengue, Ebola, Stability Analysis, Sensitivity Analysis, Control Theory

Biography:

Gul Zaman is a Professor in the Department of Mathematics at University of Malakand KP, Pakistan, where he has been since 2010. From 2013 to 2017 he served as Department Chair. From 2012 to 2014 he served as Chief Proctor. During 2008- 20010 he was Assistant Professor at National University of Science and Technology (NUST) Islamabad, and in 2000-2008 he was Research Associate and Lecturer in South Korea. He received a B.Sc. from University of Peshawar in 1994, and an M.Sc. from the Gomal University DIKhan. He received his M.S. from Konkuk University South Korea in 2006 and Ph.D. in Applied Mathematics from the Pusan National University, South Korea in 2008.

His research interests span both modelling and analysis of real world problems. Much of his work has been on improving the developing of mathematical modelling, stability analysis, and controllability of communicable diseases and biomechanics. He has developed several control strategies for Dengue, Smoking, Ebola, Malaria and COVID19 to minimize the spread of infectious diseases in the Community. He has also investigated certain biological parameters used in the epidemic models. In addition he has made numerous contributions in di erent research groups and won Best Teacher Award 2011 from HEC, Research Productivity Award (RPA) 2012, 2013, and 2015 from Pakistan Council for Science and Technology (PCST), Best Teacher Award from NUST Islamabad.

Professor Gul Zaman is the author of one book, three chapters and 220 per review articles in di erent journals. He holds one patents deriving from his research. As of 2023, Google Scholar reports over 3900 citations to his work. He has given numerous invited talks and lectures and organizing several conferences and seminars. 

Between 2017 and 2021 Prof. Gul Zaman worked as Vice Chancellor University of Malakand, where I led numerous achievements especially in strengthening the academic, nancial management, and ranking of the university.

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