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Dynamical systems, bifurcation analysis and applications Penang, Malaysia, August 6-13, 2018 /
This book is the result of Southeast Asian Mathematical Society (SEAMS) School 2018 on Dynamical Systems and Bifurcation Analysis (DySBA). It addresses the latest developments in the field of dynamical systems, and highlights the importance of numerical continuation studies in tracking both stable a...
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| Corporate Authors: | , |
|---|---|
| Other Authors: | , , , |
| Format: | eBook |
| Language: | English |
| Published: |
Singapore :
Springer,
2019.
|
| Series: | Springer proceedings in mathematics & statistics ;
v. 295. |
| Physical Description: |
1 online resource (x, 241 pages) : illustrations (some color). |
| Subjects: | |
| Online Access: | SpringerLink - Click here for access |
MARC
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| 245 | 1 | 0 | |a Dynamical systems, bifurcation analysis and applications : |b Penang, Malaysia, August 6-13, 2018 / |c Mohd Hafiz Mohd, Norazrizal Aswad Abdul Rahman, Nur Nadiah Abd Hamid, Yazariah Mohd Yatim, editors. |
| 264 | 1 | |a Singapore : |b Springer, |c 2019. | |
| 300 | |a 1 online resource (x, 241 pages) : |b illustrations (some color). | ||
| 336 | |a text |b txt |2 rdacontent. | ||
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| 490 | 1 | |a Springer proceedings in mathematics & statistics, |x 2194-1009 ; |v volume 295. | |
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed October 14, 2019). | |
| 505 | 0 | |a Intro; Organization; Organizing Committee; Preface; Contents; Ordinary Differential Equations; Mathematical Modeling and Stability Analysis of Population Dynamics; 1 Introduction; 2 Methodology; 2.1 Mathematical Modelling; 2.2 Stability Analysis; 3 Results and Discussion; 3.1 Model; 4 Stability Analysis; 5 Conclusion; 6 Appendixes; References; Optimal Harvesting Regions of a Polluted Predator-Prey Fishery System; 1 Introduction; 2 Predator-Prey Model; 3 Steady States, Equilibria and Stability Properties; 3.1 Local Stability; 3.2 Global Stability; 3.3 Limit Cycle; 4 Bifurcation Results. | |
| 505 | 8 | |a 5 Bionomic Equilibrium5.1 Numerical Examples; 6 Conclusion; References; Dynamics and Bifurcations in a Dynamical System of a Predator-Prey Type with Nonmonotonic Response Function and Time-Periodic Variation; 1 Introduction; 2 System with Nonmonotonic Response Function and Periodic Perturbation; 2.1 Equilibria of the System (3); 3 Fold and Cusp Bifurcations of Equilibria: An Alternative Method for Computing Fold and Cusp Bifurcation Points; 4 Numerical Bifurcations Analysis for System (3); 5 Time Periodic Perturbation; 5.1 Fold, Cusp and Torus Bifurcations of the Periodic Solution. | |
| 505 | 8 | |a 5.2 Swallowtail Bifurcation of a Periodic Solution6 Concluding Remarks; References; Modeling and Experimental Data on the Dynamics of Predation of Rice Plants and Weeds by Golden Apple Snail (Pomacea Canaliculata); 1 Introduction; 2 Predation Model of GAS with Harvesting in Rice Paddies; 3 Analysis and Dynamics of the Model; 3.1 Boundedness of the Model; 3.2 Existence of Interior Equilibria; 4 Numerical Simulations; 5 Concluding Remarks; References; Fractional Differential Equations; Analysis of a Discrete-Time Fractional Order SIR Epidemic Model for Childhood Diseases. | |
| 505 | 8 | |a 1 Introduction and Preliminaries2 Discretization Process; 3 Stability of Equilibria; 4 Bifurcation at E1; 4.1 Flip Bifurcation; 4.2 Neimark-Sacker Bifurcation; 5 Numerical Simulations; 6 Conclusions; References; Delay and Partial Differential Equations; A Tuberculosis Epidemic Model with Latent and Treatment Period Time Delays; 1 Introduction; 2 The Mathematical Model; 3 The Basic Reproductive Number and Equilibrium Points; 4 Global Stability Analysis; 5 Numerical Simulations; 6 Concluding Remarks and Further Studies; References. | |
| 505 | 8 | |a Numerical Bifurcation and Stability Analyses of Partial Differential Equations with Applications to Competitive System in Ecology1 Introduction; 2 A Partial Differential Equations Model with Biotic Interactions, Abiotic Environments and Dispersal; 3 Results; 3.1 Numerical Simulation Results of a PDE Model; 3.2 One-Parameter Bifurcation Analysis of a PDE Model; 3.3 Stability Analysis of PDE Solutions; 4 Discussion and Ecological Implications; References; Discrete Dynamical Systems; Global Stability Index for an Attractor with Riddled Basin in a Two-Species Competition System. | |
| 520 | |a This book is the result of Southeast Asian Mathematical Society (SEAMS) School 2018 on Dynamical Systems and Bifurcation Analysis (DySBA). It addresses the latest developments in the field of dynamical systems, and highlights the importance of numerical continuation studies in tracking both stable and unstable steady states and bifurcation points to gain better understanding of the dynamics of the systems. The SEAMS School 2018 on DySBA was held in Penang from 6th to 13th August at the School of Mathematical Sciences, Universiti Sains Malaysia. The SEAMS Schools are part of series of intensive study programs that aim to provide opportunities for an advanced learning experience in mathematics via planned lectures, contributed talks, and hands-on workshop. This book will appeal to those postgraduates, lecturers and researchers working in the field of dynamical systems and their applications. Senior undergraduates in Mathematics will also find it useful. | ||
| 650 | 0 | |a Differential equations |v Congresses. |0 https://id.loc.gov/authorities/subjects/sh2008102261. | |
| 650 | 6 | |a Équations différentielles |v Congrès. | |
| 650 | 7 | |a Ecuaciones diferenciales |x Congresos. |2 embne. | |
| 650 | 7 | |a Differential equations. |2 fast. | |
| 655 | 2 | |a Congress. |0 https://id.nlm.nih.gov/mesh/D016423. | |
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| 700 | 1 | |a Mohd, Mohd Hafiz, |e editor. | |
| 700 | 1 | |a Abdul Rahman, Norazrizal Aswad, |e editor. | |
| 700 | 1 | |a Abd Hamid, Nur Nadiah, |e editor. | |
| 700 | 1 | |a Mohd Yatim, Yazariah, |e editor. | |
| 710 | 2 | |a SpringerLink (Online service) |0 https://id.loc.gov/authorities/names/no2005046756. | |
| 830 | 0 | |a Springer proceedings in mathematics & statistics ; |0 https://id.loc.gov/authorities/names/no2013000283 |v v. 295. |x 2194-1009. | |
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| 933 | |a Marcive found issue: "700 1 |a Abdul Rahman, Norazrizal Aswad, |e editor." | ||
| 933 | |a Marcive found issue: "700 1 |a Mohd, Mohd Hafiz, |e editor." | ||
| 933 | |a Marcive found issue: "700 1 |a Mohd Yatim, Yazariah, |e editor." | ||
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| 995 | |a Loaded with m2btab.ltiac in 2021.07 | ||
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