Profile Details

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★★★★★

☆☆☆☆☆

USD 30 /hr

★★★★★

☆☆☆☆☆

Hire Muhammad Khalil I.

Bangladesh

USD 30 /hr

Mathematical Biology | Nonlinear PDE & Dynamical Systems | Pulmonary Disease Dynamics | MATLAB, Python & LaTeX Expert

Profile Summary

I am an applied mathematician specializing in the development and analysis of nonlinear PDEs, reaction–diffusion systems, and dynamical models of disease progression. My research background includes advanced modeling of pulmonary diseases such as emphysema and COPD, with a focus on understanding spatial–temporal disease dynamics through traveling wave analysis, stability theory, and numerical simulation. Beyond my niche expertise, I have broad experience across mathematical biology, including epidemic modeling, tumor growth simulation, and ecological population dynamics. I work extensively with MATLAB and Python for computational modeling, as well as LaTeX for professional manuscript preparation. I help researchers, students, and institutions by: => Deriving traveling wave ODE systems => Designing custom mathematical models for biomedical, ecological, and epidemiological systems. => Simulating ODE/PDE-based models using MATLAB/Python. => Performing qualitative analysis: steady state, nullcline analysis, phase-plane diagrams, bifurcation studies, stability assessment and basins of attraction. => Preparing and formatting scientific manuscripts in LaTeX for journal submission. Whether you require a specialized pulmonary disease model or a general mathematical biology solution, I deliver accurate, well-documented results that meet academic and publishing standards.

Subject Matter Expertise

• ☆ Mathematical Biology
• ☆ Ecology
• ☆ Applied Mathematics
• ☆ Mathematical Models
• ☆ Publishing
• ☆ Matlab
• ☆ LaTex
• ☆ Infectious Disease
• ☆ Viral Diseases
• ☆ Epidemiology
• ☆ Formulation

Services

• Writing
• Research
• Consulting
• Data & AI

Writing Technical Writing, Copywriting

Research Scientific and Technical Research

Consulting Scientific and Technical Consulting

Data & AI Predictive Modeling, Data Visualization

Work Experience

Jahangirnagar University

- Present

Course Instructor

Grameen School

January 2024 - July 2025

Education

Bachelor of Science and Master of Science in Mathematics

Jahangirnagar University, Bangladesh

February 2019 - December 2022

Certifications

• Master Of Science

  Jahangirnagar University

  July 2025 - Present

• Bachelor of Science

  Jahangirnagar University

  March 2024 - Present