<?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%">LEI SHI</style></author><author><style face="normal" font="default" size="100%">HUA LIU</style></author><author><style face="normal" font="default" size="100%">YUMEI WEI</style></author><author><style face="normal" font="default" size="100%">MING MA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPLEX NON-UNIQUE DYNAMICS IN A HOST-PARASITOID MODEL INCORPORATING CLUMPING EFFECT</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%">34C</style></keyword><keyword><style  face="normal" font="default" size="100%">65C</style></keyword><keyword><style  face="normal" font="default" size="100%">92B</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%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/28/1/1.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%">18</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, computer simulation is used to study the influence of&amp;nbsp;clumping effect on the dynamic complexities of a discrete-time host-parasitoid model.&amp;nbsp;We report here parasitoid aggregation may be a strong stabilizing or destabilizing&amp;nbsp;factor. Using computer simulation, many forms of complex dynamic are observed,&amp;nbsp;including Hopf bifurcation reversal, period-halving, attractor crises, chaotic bands&amp;nbsp;with narrow or wide periodic windows, intermittent chaos, and supertransient behavior. Several types of attractors, e.g. point equilibrium vs. chaotic, periodic vs.&lt;br /&gt;
quasiperiodic and quasiperiodic vs. chaotic attractors, may coexist in the same mapping. This non-uniqueness also indicates that the bifurcation diagrams, or the routes&amp;nbsp;to chaos, depend on initial conditions and are therefore non-unique. The basins of&amp;nbsp;attraction, defining the initial conditions leading to a certain attractor, may be frac&amp;nbsp;tal set. The fractal property observed is the pattern of self-similarity. The numerical&amp;nbsp;results indicate that computer simulation is a useful method of investigating complex&amp;nbsp;dynamic systems. We also conclude that non-unique dynamic, associated with the&amp;nbsp;extremely complex structure of the basin boundaries, can have a profound effect on&amp;nbsp;our understanding of the dynamical processes of nature.&lt;/p&gt;
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