Search Results - "BEARDMORE, R. E."
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Constraints on microbial metabolism drive evolutionary diversification in homogeneous environments
Published in Journal of evolutionary biology (01-09-2007)“…Understanding the evolution of microbial diversity is an important and current problem in evolutionary ecology. In this paper, we investigated the role of two…”
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Sequential and continuum bifurcations in degenerate elliptic equations
Published in Proceedings of the American Mathematical Society (01-01-2004)“…We examine the bifurcations to positive and sign-changing solutions of degenerate elliptic equations. In the problems we study, which do not represent Fredholm…”
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Finite time extinction in nonlinear diffusion equations
Published in Applied mathematics letters (01-05-2004)“…We consider a class of degenerate diffusion equations where the nonlinearity is assumed to be singular (non-Lipschitz) at zero. It is shown that solutions with…”
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Transversality and separation of zeros in second order differential equations
Published in Proceedings of the American Mathematical Society (01-01-2003)“…Sufficient conditions on the non-linearity f are given which ensure that non-trivial solutions of second order differential equations of the form Lu=f(t,u)…”
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Algorithms for the computation of solutions of the Ornstein-Zernike equation
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-10-2006)“…We introduce a robust and efficient methodology to solve the Ornstein-Zernike integral equation using the pseudoarc length (PAL) continuation method that…”
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A bifurcation analysis of the Ornstein–Zernike equation with hypernetted chain closure
Published in Journal of mathematical analysis and applications (15-09-2007)“…Motivated by the large number of solutions obtained when applying bifurcation algorithms to the Ornstein–Zernike (OZ) equation with the hypernetted chain (HNC)…”
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Antibiotic Cycling and Antibiotic Mixing: Which One Best Mitigates Antibiotic Resistance?
Published in Molecular biology and evolution (01-04-2017)“…Can we exploit our burgeoning understanding of molecular evolution to slow the progress of drug resistance? One role of an infection clinician is exactly that:…”
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Stability and bifurcation properties of index-1 DAEs
Published in Numerical algorithms (01-01-1998)“…It is well known that an equilibrium of a semi-explicit, index-1 differential-algebraic equation under a parameter variation may encounter the singularity…”
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A singularity–induced bifurcation theorem for infinite–dimensional implicit dynamical systems
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (08-06-2001)“…In this note we study a class of partial differential equations whose formal structure resembles the semi–explicit, index–1 form from the theory of…”
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Classifying the role of trade-offs in the evolutionary diversity of pathogens
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (08-01-2006)“…to the same host–pathogen system. We find our work to be in good agreement with these two approaches…”
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