Publications

Results of Consortium-supported research activities of the visitors:

• Mass Media Influence Spreading in Social Networks with Community Structure, arXiv:0806.1762. PDF

• Phase transitions in a system of self-propelled agents induced by complex nonlinear noise, arXiv:0806.0882. PDF

• Random-walk access time on partially disordered complex networks: An effective medium theory, Physical Review E, 77, 061113 (2008). PDF

• Effect of Predators of Juvenile Rodents on the Spread of the Hantavirus Epidemic, Bulletin of Mathematical Biology, 70, 179-188 (2008). PDF

• Phase Transitions in Systems of Self-Propelled Agents and Related Network Models, Physical Review Letters, 98, 095702 (2007). PDF

• Effects of finite probing windows on the interpretation of the multifractal properties of random walks, EPL, 77 (40004), 1-5 (2007). PDF

• Theory of hantavirus infection spread incorporating localized adult and itinerant juvenile mice, European Physical Journal B, 55, 461-470, (2007). PDF

• Nanoscale sliding friction versus commensuration ratio: Molecular dynamics simulations, Physical Review B, 73, 035434, (2006). PDF

• Cooper Pairs as Bosons , International Journal of Modern Physics B, 20 (20), 2931-2939, (2006). PDF

• Theory of Home Range Estimation from Displacement Measurements of Animal Populations, J. Theoretical Biology, 2006 May 7; 240 (1): 126-35. PDF

• The Effect of Biodiversity on the Hantavirus Epizootic , Ecology Society of America 87(4), 873-879 (2006). PDF

• Theory of the Spin Echo Signal in NMR Microscopy: Analytic Solutions of a Generalized Torrey-Bloch Equation, J. Phys. Condensed Matter 18, 1-14 (2006). PDF

• Analytic Considerations in the Theory of NMR Microscopy, submitted to Physica A (2006). PDF

• Effects of Mass Media and Cultural Drift in a Nonequilibrium Model for Social Influence, Phys. Rev. E 72, 065102(R) (2005). PDF

• Statistical Mechanical Considerations in the Theory of the Spread of the Hantavirus, Physica A 356, 121-126 (2005). PDF

• A Theoretical Framework for the Analysis of the West Nile Virus Epidemic, Mathematical and Computer Modeling, 42, 313-324 (2005). PDF

• Diffusion and Home Range Parameters from Rodent Population Measurements in Panama, Bulletin of Mathematical Biology 67, 1135-1149 (2005). PDF

• Static Pairwise Annihilation in Complex Networks, Phys. Rev. E 72, 026102-026110 (2005). PDF

• Arbitrary Nonlinearities in Convective Population Dynamics with Small Diffusion, Phys. Rev. E 72, 041902 (2005). PDF

• Bistability and Hysteresis in the Sliding Friction of a Dimer, Phys. Rev. B 72, 195418 (2005). PDF

• Traversal Times for Random Walks on Small-World Networks, Phys. Rev. E 72, 056119 (2005). PDF

• Patterns and Localized Structures in Population Dynamics, Phys. Rev. E 72, 056217 (2005). PDF

• Theory of Hantavirus Infection Spread Incorporating Localized Adult and Itinerant Juvenile Mice, submitted to Phys. Rev. E (2005). PDF

• Effect of Predators of Juvenile Rodents on the Spread of the Hantavirus Epidemic, submitted to Theoretical Population Biology (2005). PDF

• Variational Formula for the Relaxation Time in the Boltzmann Equation, submitted to J. Phys. Chem. (2005). PDF

• Diffusion and Home Range Parameters of Rodents: Peromyscus Maniculatus in New Mexico, accepted in Ecological Complexity (2004). PDF

• Nonlinear Friction of a Damped Dimer Sliding on a Periodic Substrate, Phys. Rev. B 70, 195415 (2004). PDF

• Variational Considerations in the Study of Carrier Transport in Organic Crystals, Phys. Rev. B 70, 064304 (2004).PDF

• Nonlinear Friction of a Damped Dimer Sliding on a Periodic Substrate, Phys Rev. B, accepted for publication (2004).PDF

• Periodically Varying Externally Imposed Environmental Effects on Population Dynamics, Phys. Rev. E 70, 031912 (2004). PDF

• Analytical Considerations in the Study of Spatial Patterns Arising from Nonlocal Interaction Effects, J. Phys. Chem. B 108, 10505-10508 (2004). PDF

• Results from Variants of the Fisher Equation in the Study of Epidemics and Bacteria, Physica A 342, 242-248 (2004).PDF

• Non-local Interaction Effects on Pattern Formation in Population Dynamics, Phys. Rev. Lett. 91, 158104-1 (2003).PDF

• Applicability of the Fisher Equation in the Evolution of Bacterial Colonies, Phys. Rev. E 67,051921 (2003).PDF

• Traveling Waves of Infection in the Hantavirus, Bull. Math. Biology 65,519-534 (2003).PDF

• Simulations in the Mathematical Modeling of the Spread of the Hantavirus, Phys. Rev. E 66, 041908 (2002).PDF

• Mathematical Models for the Spread of the Hantavirus, in Proceeding of Unified Science and Technology for Reducing Biological Threats and Countering Terrorism Conference, BTR (2002) p. 64.PDF

• Spatio-Temporal Patterns in Hantavirus Infection, Phys. Rev. E 66, 011912, 1-5 (2002).PDF

• Analytic Solutions for Nonlinear Waves in Coupled Reacting Systems, Physica A 305, 427-436 (2002).PDF

• Effect of Transport Memory and Nonlinear Damping in a Generalized Fisher’s Equation, Phys. Rev. E, 64, 66615 (2001).PDF

Publications available in preprint form:

• Thoughts about Anomalous Diffusion: Time-dependent Coefficients versus Memory Functions.

• A Generalized Convective Nonlinear Evolution Equation in Population Dynamics: Analytic Considerations.

• Static Pairwise Annihilation in Small World Networks.

• Bose-Einstein Condensation in Confining Potentials.

• Transport Phenomena Effect on Animal Population Dynamics.

• Acquisition and Loss of Antibodies after Hantavirus Infection in Panama.

• Modelling the Propagation of Light in Photonic Crystals Fibers, submitted to Physica D.

• Theoretical Determination of Geometry and Force Constants of Alpha-Boron (Boron America Conference, Jan. 2-5, 2001).

• Effects of Confinement Potentials on Spatial Patterns of Infection in Hantavirus Refugia, submitted to Phys. Rev. E.

• Analytic Formulation, Exact Solutions, and Generalizations of the Elephant and the Alzheimer Random Walks, submitted to Phys. Rev. Letters.PDF