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Synopsis
In this book, A structure and dynamics of a food web prey-predator model are proposed and studied by using different types of functional responses ( Lotka-Volterra and type II functional response ) to describe the variety species' interactions in this proposed model. Age stages which are divided into two categories (mature and immature) with refuge in prey population and two predators (top and mid) are considered. The assumption of this model is that in the absence of predator the prey growth logistically, and the role of the prey refuges is the most important factor that has a negatively effect on the predator species and then lead to its extinction, this role has been investigated extensively. The existence of equilibrium points, uniqueness and boundedness of the solution of the proposed model are proven. The local dynamics and the global dynamics with the help of a suitable Lyapunov function are studied for all possible equilibrium points.
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- PublisherLAP LAMBERT Academic Publishing
- Publication date2019
- ISBN 10 6202069430
- ISBN 13 9786202069434
- BindingPaperback
- LanguageEnglish
- Number of pages120
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The Dynamics of Prey-Predator Model with Different Types of Functional responses
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LAP LAMBERT Academic Publishing Sep 2019, 2019
ISBN 10: 6202069430
ISBN 13: 9786202069434
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Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book, A structure and dynamics of a food web prey-predator model are proposed and studied by using different types of functional responses ( Lotka-Volterra and type II functional response ) to describe the variety species' interactions in this proposed model. Age stages which are divided into two categories (mature and immature) with refuge in prey population and two predators (top and mid) are considered. The assumption of this model is that in the absence of predator the prey growth logistically, and the role of the prey refuges is the most important factor that has a negatively effect on the predator species and then lead to its extinction, this role has been investigated extensively. The existence of equilibrium points, uniqueness and boundedness of the solution of the proposed model are proven. The local dynamics and the global dynamics with the help of a suitable Lyapunov function are studied for all possible equilibrium points. 120 pp. Englisch. Seller Inventory # 9786202069434
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The Dynamics of Prey-Predator Model with Different Types of Functional responses
Published by
LAP LAMBERT Academic Publishing, 2019
ISBN 10: 6202069430
ISBN 13: 9786202069434
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this book, A structure and dynamics of a food web prey-predator model are proposed and studied by using different types of functional responses ( Lotka-Volterra and type II functional response ) to describe the variety species' interactions in this proposed model. Age stages which are divided into two categories (mature and immature) with refuge in prey population and two predators (top and mid) are considered. The assumption of this model is that in the absence of predator the prey growth logistically, and the role of the prey refuges is the most important factor that has a negatively effect on the predator species and then lead to its extinction, this role has been investigated extensively. The existence of equilibrium points, uniqueness and boundedness of the solution of the proposed model are proven. The local dynamics and the global dynamics with the help of a suitable Lyapunov function are studied for all possible equilibrium points. Seller Inventory # 9786202069434
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The Dynamics of Prey-Predator Model with Different Types of Functional responses
Published by
LAP LAMBERT Academic Publishing, 2019
ISBN 10: 6202069430
ISBN 13: 9786202069434
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Ali SabahMy name is Sabah Ali Rahi. Mathematics teacher. Work in a high school. Graduated from Al-Mustansiriya University Got a master s degree from the Collage of Science, University of Baghdad.In this book, A structure and dyna. Seller Inventory # 385924539
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The Dynamics of Prey-Predator Model with Different Types of Functional responses
Published by
LAP LAMBERT Academic Publishing, 2019
ISBN 10: 6202069430
ISBN 13: 9786202069434
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