<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SVETOSLAV MARKOV</style></author><author><style face="normal" font="default" size="100%">ANTON ILIEV</style></author><author><style face="normal" font="default" size="100%">ASEN RAHNEV3</style></author><author><style face="normal" font="default" size="100%">NIKOLAY KYURKCHIEV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NOTE ON THE THREE–STAGE GROWTH MODEL</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A46</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/28/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">28</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we study the one–sided Hausdorff approximation of&amp;nbsp;the generalized cut function by sigmoidal modified three–stage growth model. The&amp;nbsp;model has a certain right of existence insofar as the theory of sigmoidal functions&amp;nbsp;is well developed. The estimates of the value of the best Hausdorff approximation&amp;nbsp;obtained in this article can be used in practice as one possible additional criterion&amp;nbsp;in ”saturation” study. We examine the small data for modeling the growth of red&amp;nbsp;abalone Haliotis Rufescens in Northern California. Numerical examples are presented&lt;br /&gt;
using &lt;em&gt;CAS MATHEMATICA&lt;/em&gt;.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">63</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SVETOSLAV MARKOV</style></author><author><style face="normal" font="default" size="100%">NIKOLAY KYURKCHIEV</style></author><author><style face="normal" font="default" size="100%">ANTON ILIEV</style></author><author><style face="normal" font="default" size="100%">ASEN RAHNEV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NOTE ON THE LOG–LOGISTIC AND TRANSMUTED LOG–LOGISTIC MODELS. SOME APPLICATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A46</style></keyword><keyword><style  face="normal" font="default" size="100%">68N30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">07/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The Hausdorff approximation of the shifted Heaviside function by&amp;nbsp;Log-logistic and quadratic transmuted Log-logistic sigmoid functions is investigated&amp;nbsp;and an expression for the error of the best approximation is obtained. The results of&amp;nbsp;numerical examples performed in the programming environmentMathematica confirm&amp;nbsp;our theoretical conclusions. Some applications in the field of biochemical processes&amp;nbsp;and debugging theory are also explored.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">593</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SVETOSLAV MARKOV</style></author><author><style face="normal" font="default" size="100%">NIKOLAY KYURKCHIEV</style></author><author><style face="normal" font="default" size="100%">ANTON ILIEV</style></author><author><style face="normal" font="default" size="100%">ASEN RAHNEV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE APPROXIMATION OF THE GENERALIZED CUT FUNCTION OF DEGREE p+1 BY SMOOTH HYPER–LOG–LOGISTIC FUNCTION</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A46</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">208</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We introduce a modification of the familiar cut function by replacing&amp;nbsp;the linear part in its definition by a polynomial of degree p + 1 obtaining thus a&amp;nbsp;sigmoid function called generalized cut function of degree p+1 (GCFP).We then study&amp;nbsp;the uniform approximation of the (GCFP) by smooth sigmoid functions such as the&amp;nbsp;hyper–log–logistic and the shifted hyper–log–logistic functions. The limiting case of&amp;nbsp;the interval-valued Heaviside step function is also discussed which imposes the use of&amp;nbsp;Hausdorff metric. Numerical examples are presented using CAS MATHEMATICA.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">715</style></section></record></records></xml>