The dynamics of the multi-interactions ecological systems: The multi-intractions ecological systems - Softcover

Raad, Rami; K. Naji, Raed

Softcover

ISBN 10: 3848420430 ISBN 13: 9783848420438

Publisher: LAP LAMBERT Academic Publishing, 2014

Synopsis

The objective of this book is to study the dynamical behavior of four species syn-ecological models. Two types of four species mathematical model involving different types of ecological interactions is proposed and analyzed. In the first model Holling type –II functional response is a doubted to describe the behavior of predation, while in the second model Lotka-Volterra functional response is used to describe the predation process of the general predator. For the both the models, the existence, uniqueness and boundedness of the solution are discussed. The existences and the stability analysis of all possible equilibrium points are studied. Suitable Lyapunov functions are used to study the global dynamics of the proposed models. Numerical simulations are also carried out to investigate the influence of parameters on the dynamical behavior of the models and to support the obtained analytical results of the both the models.

About this title

About the Author

Assistant Lecturer Rami Raad Saadi got a B.sc. degree in 2010 Baghdad University college of Science - Department of Mathematics, got a master's degree from the same college in 2013, and now I work in the Department of Mathematics Lecturer.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2014
• Language: English
• ISBN 10: 3848420430
• ISBN 13: 9783848420438
• Binding: Paperback
• Number of pages: 136