Abstract：
:A Gompertz-type diffusion process characterized by the presence of exogenous factors in the drift term is considered. Such a process is able to describe the dynamics of populations in which both the intrinsic rates are modified by means of time-dependent terms. In order to quantify the effect of such terms the evaluation of the relative entropy is made. The first passage time problem through suitable boundaries is studied. Moreover, some simulation results are shown in order to capture the dependence of the involved functions on the parameters. Finally, an application to tumor growth is presented and simulation results are shown.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Albano G,Giorno V,Román-Román P,Torres-Ruiz Fdoi
10.1016/j.mbs.2013.01.001subject
Has Abstractpub_date
2013-09-01 00:00:00pages
12-21issue
1eissn
0025-5564issn
1879-3134pii
S0025-5564(13)00025-4journal_volume
245pub_type
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