Abid Ali Lashari

Doktorand

Visa sidan på svenska
 Works at Telephone 08-16 45 61 Email abid@math.su.se Visiting address Kräftriket, hus 6 Room 304 Postal address Matematiska institutionen 106 91 Stockholm

My research work is focused on using mathematical approaches to provide some insight into real-life phenomena associated with the mathematical modeling of infectious disease.

Here comes my educational background

2012: PhD  (Biomathematics)

School of Natural Sciences, National University of Sciences and Technology, Pakistan.

Thesis Title: Mathematical Modeling and Optimal Control of a Vector-Borne Disease.

2006: Master of Science in Mathematics

Punjab University, Lahore, Pakistan, 2006.

2004: Bachelor of Science in Mathematics & Statistics

Forman Christian College Lahore, Pakistan.

Research

Mathematical Statistics

• Stochastic Models for Infectious Disease Dynamics

Mathematical Biology

• Epidemics dynamics and mathematical modeling of infectious diseases with optimal control.

Publications

A selection from Stockholm University publication database
• 2017. Abid Ali Lashari. Mathematical Biosciences 288, 94-108
• 2017. Abid Ali Lashari, Pieter Trapman. Journal of Mathematical Biology, 1-30

We study the spread of sexually transmitted infections (STIs) and other infectious diseases on a dynamic network by using a branching process approach. The nodes in the network represent the sexually active individuals, while connections represent sexual partnerships. This network is dynamic as partnerships are formed and broken over time and individuals enter and leave the sexually active population due to demography. We assume that individuals enter the sexually active network with a random number of partners, chosen according to a suitable distribution and that the maximal number of partners that an individual can have at a time is finite. We discuss two different branching process approximations for the initial stages of an outbreak of the STI. In the first approximation we ignore some dependencies between infected individuals. We compute the offspring mean of this approximating branching process and discuss its relation to the basic reproduction number R0. The second branching process approximation is asymptotically exact, but only defined if individuals can have at most one partner at a time. For this model we compute the probability of a minor outbreak of the epidemic starting with one or few initial cases. We illustrate complications caused by dependencies in the epidemic model by showing that if individuals have at most one partner at a time, the probabilities of extinction of the two approximating branching processes are different. This implies that ignoring dependencies in the epidemic model leads to a wrong prediction of the probability of a large outbreak. Finally, we analyse the first branching process approximation if the number of partners an individual can have at a given time is unbounded. In this model we show that the branching process approximation is asymptomatically exact as the population size goes to infinity.

Show all publications by Abid Ali Lashari at Stockholm University

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Last updated: June 27, 2018

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