Threshold and stability results for an age-structured epidemic model Export

@article{citeulike:4612496, abstract = {We study a mathematical model for an epidemic spreading in an age-structured population with age-dependent transmission coefficient. We formulate the model as an abstract Cauchy problem on a Banach space and show the existence and uniqueness of solutions. Next we derive some conditions which guarantee the existence and uniqueness for non-trivial steady states of the model. Finally the local and global stability for the steady states are examined.}, author = {Inaba, H.}, citeulike-article-id = {4612496}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/BF00178326}, citeulike-linkout-1 = {http://www.springerlink.com/content/l257160163jn1541}, day = {1}, doi = {10.1007/BF00178326}, journal = {Journal of Mathematical Biology}, keywords = {age-structure, immigration, sir}, month = {June}, number = {4}, pages = {411--434}, posted-at = {2009-05-23 19:17:31}, priority = {2}, title = {Threshold and stability results for an age-structured epidemic model}, url = {http://dx.doi.org/10.1007/BF00178326}, volume = {28}, year = {1990} }

TY - JOUR ID - citeulike:4612496 L3 - citeulike-article-id:4612496 N2 - We study a mathematical model for an epidemic spreading in an age-structured population with age-dependent transmission coefficient. We formulate the model as an abstract Cauchy problem on a Banach space and show the existence and uniqueness of solutions. Next we derive some conditions which guarantee the existence and uniqueness for non-trivial steady states of the model. Finally the local and global stability for the steady states are examined. IS - 4 JF - Journal of Mathematical Biology EP - 434 TI - Threshold and stability results for an age-structured epidemic model VL - 28 SP - 411 KW - age-structure KW - immigration KW - sir AU - Inaba, H PY - 1990/06/01/ UR - http://dx.doi.org/10.1007/BF00178326 ER -