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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Continuous models in biology
 Kozák, Michal ; Stará, Jana (advisor) ; Kučera, Milan (referee)
This Bachelor Thesis is devoted to study of conditions guaranteeing that the modelled biological system is stable from the point of view of surviving of species. First, we give a short survey of various concepts of ecological stability (persistence, permanence) and then we concentrate on permanence. The models we study are described in terms of semidynamical systems on metric spaces. In this framework we define permanence of a semidynamical system. Main part of the thesis are theorems giving sufficient conditions for permanence or non- permanence by adapting the method of Average Lyapunov Function. In the last chapter a model of aquatic population interacting with a polluted environment is considered and its permanence proved under certain conditions on coefficients. The aim of the theses is to present a survey of these notions. Moreover, the contri- bution of theses is the proof of non-permanence theorem whose part was known for difference equations, only. 34
Detailed record
Continuous models in biology
 Kozák, Michal ; Stará, Jana (advisor) ; Kučera, Milan (referee)
This Bachelor Thesis is devoted to study of conditions guaranteeing that the modelled biological system is stable from the point of view of surviving of species. First, we give a short survey of various concepts of ecological stability (persistence, permanence) and then we concentrate on permanence. The models we study are described in terms of semidynamical systems on metric spaces. In this framework we define permanence of a semidynamical system. Main part of the thesis are theorems giving sufficient conditions for permanence or non- permanence by adapting the method of Average Lyapunov Function. In the last chapter a model of aquatic population interacting with a polluted environment is considered and its permanence proved under certain conditions on coefficients. The aim of the theses is to present a survey of these notions. Moreover, the contri- bution of theses is the proof of non-permanence theorem whose part was known for difference equations, only. 34
Detailed record

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