A predator prey approach to the network structure of cyberspace

In light of the rise of malicious attacks on the Internet and the various networks and applications attached to it, new approaches towards modeling predatory activity in networks is called for. Past research has simulated networks assuming that all nodes are homogenously susceptible to attack or infection. Often times in real world networks only subsets of nodes are susceptible attack or infection in a heterogeneous population of nodes. One approach to examining a heterogeneous network susceptible to attack is modeling cyberspace as a predator prey landscape. If each type of vulnerable device is considered a heterogeneous species what level of species diversification is needed to keep a malicious attack from a causing a catastrophic failure to the entire network. This paper explores the predator prey analogy for the Internet and presents findings on how different levels of species diversification effects network resilience. The paper will also discuss the connection between diversification, competition, anti-trust, and national security.

[1]  F. Weiling Lotka, A. J.: Elements of Mathematical Biology. Dover Publications Inc., New‐York 1956; XXX + 465 S., 72 Abb., 36 Tabellen und 4 Übersichtstabellen im Anhang, Preis $ 2,45 , 1965 .

[2]  Lada A. Adamic,et al.  Internet: Growth dynamics of the World-Wide Web , 1999, Nature.

[3]  V. Volterra Fluctuations in the Abundance of a Species considered Mathematically , 1926 .

[4]  M. Dodge,et al.  Mapping Cyberspace , 2000 .

[5]  R. Paine Food Web Complexity and Species Diversity , 1966, The American Naturalist.

[6]  Lionel Sacks,et al.  On power-laws in SDH transport networks , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[7]  Albert-László Barabási,et al.  Error and attack tolerance of complex networks , 2000, Nature.

[8]  Eric Sheppard,et al.  The Dialectics of Geographic and Virtual Space , 2003 .

[9]  Stanley D. Brunn,et al.  The Internet as 'the new world' of and for geography: speed, structures, volumes, humility and civility , 1998 .

[10]  Zhibin Zhang,et al.  Mutualism or cooperation among competitors promotes coexistence and competitive ability , 2003 .

[11]  Stefan Savage,et al.  The Spread of the Sapphire/Slammer Worm , 2003 .

[12]  Albert-László Barabási,et al.  Internet: Diameter of the World-Wide Web , 1999, Nature.

[13]  Michalis Faloutsos,et al.  On power-law relationships of the Internet topology , 1999, SIGCOMM '99.

[14]  Rodrigo Ramos-Jiliberto,et al.  Dynamic consequences of prey refuges in a simple model system: more prey, fewer predators and enhanced stability , 2003 .

[15]  K. Tainaka Perturbation expansion and optimized death rate in a lattice ecosystem , 2003 .