# Profile

I use **ordinary differential, partial differential equations, optimal control theory and fractional derivatives** to gain insights into the qualitative behaviour of nonlinear dynamical systems arising from the mathematical modelling of phenomena in the natural sciences, with emphasis on the transmission dynamics and control of emerging and re-emerging human and animal diseases of public health and socio-economic interest.

My mathematical models typically have deterministic systems of nonlinear differential equations as their basic building blocks. With the ultimate goal of identifying the range of parameters under which a specific disease can be effectively managed. I employ or develop theories and approaches for analysing dynamical systems to better understand the qualitative dynamics of such models. Exciting aspects of the models include the existence and asymptotic stability of steady-state solutions and the types of bifurcation linked to them. I use optimisation techniques to fit models to data to estimate unknown parameters or use literature values and parameter assumptions to conduct global uncertainty and sensitivity analysis for the basic reproduction number of the models. I use cost-effectiveness theories to find the most cost-effective strategy for mitigating infectious diseases.

I have published research articles in Science Journals, such as **Chaos, Solitons & Fractals - Impact Factor: 9.922; Alexandria Engineering Journal - Impact Factor: 6.626; Results in Physics - Impact Factor: 4.565; Journal of Nanomaterials - Impact Factor: 3.791; Physica A: Statistical Mechanics and its Applications - Impact Factor: 3.778; The European Physical Journal Plus - Impact Factor: 3.758; Computational Intelligence and Neuroscience - Impact Factor: 3.120; Computational and Mathematical Methods in Medicine - Impact Factor: 2.809; Mathematics - Impact Factor: 2.592; Journal of Applied Mathematics; Computational and Mathematical Biophysics, Healthcare Analytics, Partial Differential Equations in Applied Mathematics.**

I have peer-reviewed over **100** academic research papers; see **Web of Science** for more details.

**I have been awarded as a top reviewer (2022) in Research in Mathematics for upholding Taylor & Francis’s continued tradition of publishing the highest quality work.**

**Editorial Board Member**

## Health Economics and Management Review

**Project**

## Mathematical Analysis and Optimisation Strategies for Infectious Diseases and Biological Processes

**RESEARCH AREAS/EXPERIENCES**

**Mathematical Epidemiology**-
**Mathematical Biology** -
**Computational Biology** -
**Optimal Control Theory** -
**Differential Equations** **Applied Fractional Calculus**

**RESEARCH PROFILE LINKS**

**COURSES TAUGHT**

**MATH 252 CALCULUS OF SEVERAL VARIABLES**

**MATH 152 CALCULUS WITH ANALYSIS**

**MATH 158 CALCULUS**

**MATH 151 & 157 ALGEBRA **

**MATH 183 CALCULUS FOR PHYSICS I**

**PHY 359 MATHEMATICS FOR PHYSICS V**

**BRIEF DESCRIPTION OF RESEARCH INTEREST**

**BRIEF DESCRIPTION OF RESEARCH INTEREST**

**Mathematical Modelling of Infectious Disease:**

Infectious disease epidemics can be predicted using mathematical models to guide public health and plant health measures. Calculations based on the parameters of various contagious diseases, such as mass vaccination campaigns, can be made using models that use fundamental assumptions or collected statistics and mathematics. For example, it may be able to anticipate future growth trends or help determine which interventions to avoid and which to test.

**Fractional Derivatives:**

To describe the hereditary characteristics of various behaviours, we need proper tools. Fractional derivatives are beautiful means for achieving such an objective. Another advantage of fractional derivatives is that they perform a vital function in representing dynamics between a couple of various points in several stages. Multiple definitions of such derivatives have been developed. These derivatives are based on concepts such as differentiation with a power law, the exponential law and the Mittag-Leffler operator by memory as the nonlocal and nonsingular kernel. Several real-world applications of these innovative fractional operators are available in the literature. We require numerical techniques to acquire the approximate answers to these issues because obtaining analytical solutions to equations of a different order is difficult. Some numerical methods are Lagrange interpolation, Newton polynomial, and Chebyshev collocation techniques.

**Emails:**

**Mobile:**

** +2330248215207.**

## WEBSITE