Age-stiructure and non-age-structure poulation models
by
Shinji Yamamoto

The population model is one of the best mathematical issues which have the corporation with biology. The exponential ODE model was created by Malthus from late 18th to early 19th century and then, it was modified and developed to explain various biological issues by many scientists. Some developments have been made by introducing more advanced mathematical concepts - PDEs and functional ODEs and PDEs, some have been done by introducing more parameters to explain some particular biological issues (epidemiology, competition, size and etc.) and sometime, it have been done by both of the above.

Some of the models have succeeded to explain biology, but some have failed to do it even if they have been published in journals. Here, we have another population model, which is age structure integral equation model. That is one of the rarest type of the development of the population model. In this talk, I will discuss about the formulations of the model, the local stability, the comparisons with other types of models and how well it explains about biological issues.

Date received: May 22, 1998