SIAM Journal on Applied Mathematics http://scitation.aip.org/ SIAM Journal on Applied Mathematics Uniqueness of Limit Cycles in a RosenzweigMacArthur Model with Prey Immigration http://link.aip.org/link/?SMM/72/299/1&agg=rss Jitsuro Sugie and Yasuhisa Saito<br/> Many natural predator and prey populations persist while their densities show sustained oscillations. Hence these populations must be regulated in such a way that the densities are kept away from the values where extinction is likely to occur. On the other hand, nonspatial simple predator-prey mode ... [SIAM J. Appl. Math. 72, 299 (2012)] published Thu Feb 9, 2012. Single-spiral-vortex Model for a Cavitating Elastic Curvilinear Foil http://link.aip.org/link/?SMM/72/280/1&agg=rss A. Y. Zemlyanova and Y. A. Antipov<br/> A two-dimensional nonlinear inverse fluid-structure interaction problem for a curvilinear elastic hydrofoil is considered. A cavity formed behind the foil is modeled according to the single-spiral-vortex model by Tulin. The fluid-structure problem is decoupled by the method of successive approximat ... [SIAM J. Appl. Math. 72, 280 (2012)] published Thu Feb 9, 2012. Global Dynamics of a General Class of Multistage Models for Infectious Diseases http://link.aip.org/link/?SMM/72/261/1&agg=rss Hongbin Guo, Michael Y. Li, and Zhisheng Shuai<br/> We propose a general class of multistage epidemiological models that allow possible deterioration and amelioration between any two infected stages. The models can describe disease progression through multiple latent or infectious stages as in the case of HIV and tuberculosis. Amelioration is incorp ... [SIAM J. Appl. Math. 72, 261 (2012)] published Thu Feb 2, 2012. Nonlinear Waves in Shallow Honeycomb Lattices http://link.aip.org/link/?SMM/72/240/1&agg=rss Mark J. Ablowitz and Yi Zhu<br/> The linear spectrum and corresponding Bloch modes of shallow honeycomb lattices near Dirac points are investigated. Via perturbation theory, the dispersion relation is found to have threefold degeneracy at leading order with eigenvalue splitting at the following two orders; i.e., the threefold eige ... [SIAM J. Appl. Math. 72, 240 (2012)] published Thu Jan 26, 2012. Total Resonant Transmission and Reflection by Periodic Structures http://link.aip.org/link/?SMM/72/216/1&agg=rss Stephen P. Shipman and Hairui Tu<br/> Resonant scattering of plane waves by a periodic slab under conditions close to those that support a guided mode is accompanied by sharp transmission anomalies. For two-dimensional structures, we establish sufficient conditions, involving structural symmetry, under which these anomalies attain tota ... [SIAM J. Appl. Math. 72, 216 (2012)] published Tue Jan 24, 2012. An Asymptotic Theory for the Re-Equilibration of a Micellar Surfactant Solution http://link.aip.org/link/?SMM/72/201/1&agg=rss I. M. Griffiths, C. D. Bain, C. J. W. Breward, S. J. Chapman, P. D. Howell et al.<br/> Micellar surfactant solutions are characterized by a distribution of aggregates made up predominantly of premicellar aggregates (monomers, dimers, trimers, etc.) and a region of proper micelles close to the peak aggregation number, connected by an intermediate region containing a very low concentra ... [SIAM J. Appl. Math. 72, 201 (2012)] published Tue Jan 24, 2012. Elliptic-Spline Solutions for Large Localizations in a Circular BlatzKo Cylinder Due to Geometric Softening http://link.aip.org/link/?SMM/72/181/1&agg=rss Hui-Hui Dai and Xiaochun Peng<br/> It has been known that geometric softening can induce strain localizations in solids. However, it is very difficult to analytically capture the localized deformation states within a three-dimensional framework, especially when the deformation is large. In this paper, we introduce a novel approach, ... [SIAM J. Appl. Math. 72, 181 (2012)] published Tue Jan 24, 2012. Geographic Profiling from Kinetic Models of Criminal Behavior http://link.aip.org/link/?SMM/72/163/1&agg=rss George O. Mohler and Martin B. Short<br/> We consider the problem of estimating the probability density of the anchor point (residence, place of work, etc.) of a criminal offender given a set of observed spatial locations of crimes committed by the offender. Starting from kinetic models of criminal motion and target selection, we derive th ... [SIAM J. Appl. Math. 72, 163 (2012)] published Tue Jan 24, 2012. The Reversing of Interfaces in Slow Diffusion Processes with Strong Absorption http://link.aip.org/link/?SMM/72/144/1&agg=rss J. M. Foster, C. P. Please, A. D. Fitt, and G. Richardson<br/> This paper considers a family of one-dimensional nonlinear diffusion equations with absorption. In particular, the solutions that have interfaces that change their direction of propagation are examined. Although this phenomenon of reversing interfaces has been seen numerically, and some special exa ... [SIAM J. Appl. Math. 72, 144 (2012)] published Tue Jan 24, 2012. On the Self-similar Diffraction of a Weak Shock into an Expansion Wavefront http://link.aip.org/link/?SMM/72/124/1&agg=rss John K. Hunter and Allen M. Tesdall<br/> We study an asymptotic problem that describes the diffraction of a weak, self-similar shock near a point where its shock strength approaches zero and the shock turns continuously into an expansion wavefront. An example arises in the reflection of a weak shock off a semi-infinite screen. The asympto ... [SIAM J. Appl. Math. 72, 124 (2012)] published Tue Jan 24, 2012.