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We discuss how distributed delays arise in biological models and review the literature on such models. We indicate why it is important to keep the distributions in a model as general as possible. We then demonstrate, through the analysis of a particular example, what kind of information can be gained with only minimal information about the exact distribution of delays. In particular we show that a distribution independent stability region may be obtained in a similar way that delay independent...

Approximation of phenol concentration using novel hybrid computational intelligence methods

Paweł Pławiak, Ryszard Tadeusiewicz (2014)

International Journal of Applied Mathematics and Computer Science

Asymptotic behaviour of some Markov operators appearing in mathematical models of biology

Igor Melicherčík (1998)

Mathematica Slovaca

Asymptotical mean square stability of Cohen-Grossberg neural networks with random delay.

Zhu, Enwen, Zhang, Hanjun, Zou, Jiezhong (2010)

Journal of Inequalities and Applications [electronic only]

Automaty a mozek

Jiří Kopřiva (1962)

Pokroky matematiky, fyziky a astronomie

Autowaves in the Model of Infiltrative Tumour Growth with Migration-Proliferation Dichotomy

A.V. Kolobov, V.V. Gubernov, A.A. Polezhaev (2011)

Mathematical Modelling of Natural Phenomena

A mathematical model of infiltrative tumour growth is investigated taking into account transitions between two possible states of malignant cells: proliferation and migration. These transitions are considered to depend on oxygen level in a threshold manner where high oxygen concentration allows cell proliferation, while concentration below a certain critical value induces cell migration. The infiltrative tumour spreading rate dependence on model parameters is obtained. It is shown that the tumour...

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