Mathematician · Educator · Researcher

Muhammad
Shoaib Khan

Adjunct Teaching Fellow & Research Assistant · LUMS

Welcome to my academic home. I teach mathematics rigorously and passionately at LUMS, and pursue doctoral research in mathematical epidemiology — using differential equations to understand how diseases spread through populations.

My Courses About Me Get in Touch

🥇 Gold Medal — GCU Lahore

🇫🇷 France Fellowship — Lille

🌍 IMM — COMSATS + ICTP Italy

Courses Taught

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Gold Medal

LUMS

Institution

PhD

Research Ongoing

∞

Love for Math

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Education

Degrees from LUMS, GCU, COMSATS & University of Lille, France.

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Experience

Teaching fellow, TA, and Math Circles facilitator.

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Courses

Pre-Calculus, Calculus I, Linear Algebra — with interactive notes.

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Explore

Interactive mathematical activities — fold paper to the Moon and more!

Current Focus

Research in Mathematical Epidemiology

My doctoral research develops compartmental ODE models for disease co-infection — studying how pathogens like influenza and pneumonia interact in shared host populations. The work involves computing ℛ₀ via the Next Generation Matrix, stability analysis, and bifurcation theory.

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Co-Infection Model

dS/dt = Λ − β₁I₁S/N − β₂I₂S/N − μS
dI₁/dt = β₁I₁S/N − (γ₁+μ)I₁
dI₂/dt = β₂I₂S/N − (γ₂+μ)I₂
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ℛ₀ = ρ(FV⁻¹)