An ising-based model for the spread of infection in a two- dimensional square lattice with periodic boundary condition.

Date

4-2012

Degree

Bachelor of Science in Applied Physics

College

College of Arts and Sciences (CAS)

Adviser/Committee Chair

Chrysline Margus N Piñol

Abstract

The spread of infection in a population described by a two-dimensional square lattice with periodic boundary condition is investigated using the zero-field ferro-magnetic Ising model. The rate of infection fi was found to scale with population size. The variation of with temperature, T, approximates a logistic function. Almost no infection occurs when T < 1.0. Increasing the value of the interaction parameter, J, slows down the spread of the infection. However, the effect of J was observed to diminish at larger T values. Energy considerations reveal that starting from a single infective, the process of disease spread is characterized by increasing energy values. As soon as a critical number of infectives is reached, the spread of infection occurs more naturally as indicated by decreasing energy. For this system, the critical number or the basic reproduction number is 50% of the total population. ., 1 PACS: 05.50.+q [Ising model], 75.10.Hk Classical spin models], 87.10.Hk [Lattice models , 87.10.Rt [Monte Carlo simulation , 07.05Tp [Computer modelling and simulation , 05.10.±a Computational methods in statistical physics and nonlinear dynamics , 05.10.Ln [Monte Carlo methods], 87.15.A ±[ ,Theory, modeling and computer simulation]

Language

English

Location

UPLB Main Library Special Collections Section (USCS)

Call Number

Thesis

Document Type

Thesis

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