Mathematical analysis of an integral equation arising from population dynamics Export

@article{citeulike:1990848, abstract = {In this paper, we establish the existence of travelling wave solution to an intrinsically non-linear differential-integral equation formed as a result of mathematical modelling of the evolution of an asexual population in a changing environment. This equation is first converted to a non-linear integral equation. The discretization and manipulation of the corresponding eigenvalue problem allows us to use the theory of positive matrices to get some very useful estimates and then to confirm the existence of solution. We also exhibit numerical simulation results and explain the biological meaning of the results.}, author = {Kay, D. A. and Sagheer, M. and Tang, Q.}, citeulike-article-id = {1990848}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.mbs.2007.05.013}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6VHX-4P47GT8-1/2/eb541cc03d24faeae82fc6f6123e2e5c}, doi = {10.1016/j.mbs.2007.05.013}, journal = {Mathematical Biosciences}, keywords = {population}, month = {December}, number = {2}, pages = {415--435}, posted-at = {2007-11-27 06:06:09}, priority = {2}, title = {Mathematical analysis of an integral equation arising from population dynamics}, url = {http://dx.doi.org/10.1016/j.mbs.2007.05.013}, volume = {210}, year = {2007} }

TY - JOUR ID - citeulike:1990848 L3 - citeulike-article-id:1990848 N2 - In this paper, we establish the existence of travelling wave solution to an intrinsically non-linear differential-integral equation formed as a result of mathematical modelling of the evolution of an asexual population in a changing environment. This equation is first converted to a non-linear integral equation. The discretization and manipulation of the corresponding eigenvalue problem allows us to use the theory of positive matrices to get some very useful estimates and then to confirm the existence of solution. We also exhibit numerical simulation results and explain the biological meaning of the results. IS - 2 JF - Mathematical Biosciences EP - 435 TI - Mathematical analysis of an integral equation arising from population dynamics VL - 210 SP - 415 KW - population AU - Kay, DA AU - Sagheer, M AU - Tang, Q PY - 2007/12// UR - http://dx.doi.org/10.1016/j.mbs.2007.05.013 ER -