Trends in Biomathematics: Chaos and Control
in Epidemics, Ecosystems, and Cells
Rubem R Mondaini
Editor
Trends in Biomathematics:
Chaos and Control
in Epidemics, Ecosystems, and Cells
Selected Works from the 20th BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2020
BIOMAT Consortium In te rn atio n al In stitu te for
In te rd iscip lin a ry S cie n ce s
Springer
Editor
Rubem P. Mondaini
President, BIOMAT Consortium
International Institute for Interdisciplinary Sciences
Rio de Janeiro, Brazil
Federal University of Rio de Janeiro Rio de Janeiro, Brazil
ISBN 978-3-030-73240-0 ISBN 978-3-030-73241-7 (eBook) https ://doi.org/l 0.1007/978-3-030- 73241 - 7
Mathematics Subject Classification: 92Bxx, 92-08, 92-10, 92Dxx, 92D30, 92D40, 92D99
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Contents
Mathematical Modeling of Macroalgae-Borne Pathogen
Transmission in C o ra ls... 1 Susmita Haider, Samares Pal, and Joydeb Bhattacharyya
Oscillatory Behavior of a Delayed Ratio-Dependent
Predator-Prey System with M ichaelis-Menten Functional R esp o n se... 17 Sándor Kovács, Szilvia György, and Noémi Gyúró
Dynamical Analysis of Phytoplankton-Zooplankton Interaction
Model by Using Deterministic and Stochastic A pproach... 33 Anal Chatterjee and Samares Pal
Predicting the COVID-19 Spread Using Compartmental Model
and Extreme Value Theory with Application to Egypt and I r a q ... 57 Mahmoud A. Ibrahim, Amenah Al-Najafi, and Attila Dénes
Geometry of Fitness Surfaces and Dynamics of Replicator System s... 69 A. S. Bratus, A. S. Novozhilov, and T. Yakushkina
In-Host Dynamics of the Human Papillomavirus (HPV) in the
Presence of Immune Response... 79 Z. Chazuka, G. M. Moremedi, and E. Rapoo
Global Properties and Optimal Control Strategies of a
Generalized Ebola Virus Disease M odel... 99 Zineb El Rhoubari, Hajar Besbassi, Khalid Hattaf, and Noura Yousfi
On Whole-Graph Embedding T echniques... 115 L. Maddalena, I. Manipur, M. Manzo, and M. R. Guarracino
Semigroup Approaches of Cell Proliferation M o d e ls... 133 Y. E. Alaoui and L. Alaoui
IX
X Contents
Viability Analysis of Labor Force in an Agroforestry System ... 147 I. M. Cholo Camargo, J. A. Amador Moneada, C. A. Peña Rincón,
and G. Olivart Tost
Modeling Covid-19 Considering Asymptomatic Cases and
Avoided C ontacts... 169 Iulia Martina Bulai
On the Stability of Periodic Solutions of an Impulsive System
Arising in the Control of Agroecosystem s... 183 Youcef Belgáid, Mohamed Helal, Abdelkader Lakmeche,
and Ezio Venturino
A Jaccard-Like Symbol and Its Usefulness in the Derivation of
Amino Acid Distributions in Protein Domain F am ilies... 201 Rubem P. Mondaini and Simao C. de Albuquerque Neto
When Ideas Go Viral— Complex Bifurcations in a Two-Stage
Transmission Model ... 221 J. Heidecke and M. V. Barbarossa
Dynamic Analysis of SLIR Model Describing the Effectiveness of
Quarantine Against the Spread of C O V ID -19... 243 Omar Khyar and Karam Allah
Non-FSI 3D Hemodynamic Simulations in Time-Dependent Domains .... 261 Y. V. Vassilevski, O. N. Bogdanov, X. V. Chesnokova, A. A. Danilov,
T. K. Dobroserdova, D. D. Dobrovolsky, and A. V. Lozovskiy
Co-existence of Chaos and Control in Generalized
Lotka-Volterra Biological Model: A Comprehensive A n a ly sis... 271 Taqseer Khan and Harindri Chaudhary
Global Dynamics of a Model for Anaerobic Wastewater
Treatment Process... 281 S. Barua and A. Dénes
Spatiotemporal Dynamics of Fractional Hepatitis B Virus
Infection Model with Humoral and Cellular Im m un ity... 293 Moussa Bachraoui, Khalid Hattaf, and Noura Yousfi
A 3D Fractional Step Computational Modeling of Nerve Impulse Transmission Through an Axonal Membrane: Incorporating
Calcium Buffer and Extrusion... 315 H. Lefraich
Covid-19 Superspreading Events Network Analysis from
Agent-Based Model with Mobility Restriction... 333 L. L. Lima and A. P. L. Atman
Contents xi
Distinct Prognostic Values of BCL2 Anti-apoptotic Members in
Lung Cancer: An In-Silico Analysis ... 345 Pooja Mittal, Indrakant Kumar Singh, and Archana Singh
Economic Development Process: A Compartmental Analysis of a
Model with Two D elays... 355 A. B. Ndione, A. Mendy, and C. A. Onana
Ind ex... 391
