پديد آورنده :
عزيزي، تهمينه
عنوان :
انشعابات و آشوب در سيستم هاي زمان- گسسته گياه- گياه خوار
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
رياضي كاربردي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده رياضي
صفحه شمار :
سيزده، 138ص: مصور، جدول، نمودار
يادداشت :
ص.ع:به فارسي و انگليسي
استاد راهنما :
رضا مزروعي سبداني
تاريخ نمايه سازي :
25/09/1392
استاد داور :
حميد رضا ظهوري زنگنه، مجيد گازر
چكيده فارسي :
به فارسي و انگليسي: قابل رويت در نسخه ديجيتال
چكيده انگليسي :
Bifurcations and chaos in discrete time plant herbivore systems Tahmineh Azizi t azizi@math iut ac ir 2013 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Reza Mazrooei Sebdani mazrooei@cc iut ac ir Advisor Dr Rasoul Asheghi r asheghi@cc iut ac ir 2010 MSC 05C15 53C42 Keywords Host parasitoid systems Stability Bifurcation Chaos Abstract Host parasitoid systems have proved fruitful models for many experimental and theoretical inves tigations in ecology and there is a rich literature on parasitoid population dynamics Host parasitoidsystems have been modelled within a discrete time framework We can see discrete time models canprovide more e cient computational models for numerical simulations and these results reveal richerdynamics of the discrete models compared to the continuous ones Interactions between plants andherbivores have been studied by ecologists for many decades One focus of research is the e ectsof herbivores on plant dynamics In contrast there is strong ecological evidence indicating that thepopulation dynamics of plants has an important e ect on the plant herbivore interactions Ecologi cal systems and their component biological populations exhibit a broad spectrum of non equilibriumdynamics ranging from characteristic natural cycles to more complex chaotic oscillations Even insimple one species models we have seen the potential for stability cycles or chaos One of the earliestapplications of a discrete time model to a biological system involved two insects a parasitoid and itshost The model was developed by Nicholson and Bailey and applied it to the parasitoid Encarsiaformosa and the host Trialeurodes vaporarioum 1935 In this thesis we rst de ne the concept of dynamical system and it s component and we imply threeimportant theorems of it such as stability bifurcation and chaos theory These theorem have manyapplications on biological models and many researchers use them They are also the base of my work
استاد راهنما :
رضا مزروعي سبداني
استاد داور :
حميد رضا ظهوري زنگنه، مجيد گازر
