One simplification is to model it as a small Local Area Network. Previ- … modeling the flow of information on a local area network. We examine the ef

Mathematical and Theoretical Biology I
titute Does gravitational gossip weigh heavy on your local area network? Anthony Billups £ , Reynaldo Castro-Estrada † , Wilbert Fern ‡ , Tairi Roque-Urrea § Anthony Tongen Ariel Cintron-Arias ? £ Northeastern Unive
ity, Boston , billups.a@neu.edu † Arizona State Unive
ity, Reynaldo.Castro@asu.edu ‡ Arizona State Univerisity wfc151986@yahoo.com § Binghamton Unive
ity, roque@math.binghamton.edu Unive
ity of Arizona, tongen@math.arizona.edu ? Cornell Unive
ity, ariel@cam.cornell.edu The World Wide Web has proven useful in disseminating information. However, it is extremely difficult to track its spread in such a complex net- work. One simplification is to model it as a small Local Area Network. Previ- ous work has shown that a gossip-based multicast can be an effective tool for modeling the flow of information on a local area network. We examine the ef- fect of different networks within this mathematical framework. We propose a general mathematical model that incorporates the susceptibility and infectivity of a given machine in a local area network. We also use the concept of pro- portionate mixing to model the spread of information among heterogeneous patches, where each patch co
ists of use
and non-use
of an information router. A very interesting idea to model the flow of information is to

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