Trends in biomathematics: stability and oscillations in environmental, social, and biological models : selected works from the BIOMAT consortium lectures, Rio de Janeiro, Brazil, 2021 / / Rubem P. Mondaini, editor

• Pubblicazione: Cham, Switzerland : , : Springer, , [2022]; ©2022
• Descrizione fisica: 1 online resource (421 pages)
• Disciplina: 570.15195
• Soggetto topico: Biology - Mathematical models; Biomathematics; Biomatemàtica; Biologia; Models matemàtics
• Soggetto genere / forma: Congressos; Llibres electrònics
• Persona (resp. second.): MondainiRubem P.
• Nota di contenuto: Intro -- Preface -- Editorial Board of the BIOMAT Consortium -- Contents -- Whole-Graph Embedding and Adversarial Attacks for Life Sciences -- 1 Introduction -- 2 Whole-Graph Embedding -- 2.1 Approaches to Whole-Graph Embedding -- 2.1.1 Direct Methods -- 2.1.2 Kernel Methods -- 2.1.3 Neural Network Methods -- 2.1.4 Statistical and Spectral Representations -- 3 Adversarial Attacks for Graphs -- 3.1 Taxonomies for Adversarial Attacks -- 3.2 Adversarial Attack Methods for Graph-Level Tasks -- 4 Adversarial Attacks to Whole-Graph Embedding Methods for Graph Classification -- 5 Experimental Results -- 5.1 Datasets -- 5.2 Implementation Details -- 5.3 Performance Results -- 6 Conclusions and Future Work -- Appendix -- References -- Photochemical Scheme for Reversibly Photoswitchable Fluorescent Proteins Used in Biological Imaging -- 1 Introduction -- 2 Seven-State Photoswitching Mechanism in the 1 s-1 s Time Window -- 3 Elimination of the Excited States: The Four-State Mechanism -- 4 Illumination Protocol α -- 4.1 Low Intensity I1: Regime αl -- 4.2 High Intensity I1: Regime αh -- 5 Illumination Protocol β -- 5.1 Low Intensity I2: Regime βl -- 5.2 High Intensity I2: Regime βh -- 6 Comparison of Experiments Involving the RSFP Dronpa-2 with the Predictions of the Reduced Mechanisms -- 7 Conclusion -- Appendix 1: The Steady-State Approximation -- Appendix 2: Fluorescence Evolution in a Two-State Mechanism -- References -- Probability Distributions of p53 Mutations and Their Corresponding Shannon Entropies in Different Cancer Cell Types -- 1 Introduction -- 2 Methodology -- 3 Results and Discussion -- 4 Conclusions -- Appendix -- References -- Oscillations in Biological Systems -- 1 Introduction -- 2 Bifurcation of Rotating Waves -- 2.1 The Linearized Problem -- 2.2 The Nonlinear Problem -- 3 Periodic Solutions of Reaction-Diffusion Systems. ; 3.1 Bifurcation of Time-Periodic Patterns -- References -- Implementation of the Functional Response in Marine Ecosystem: A State-of-the-Art Plankton Model -- 1 Introduction -- 2 The Mathematical Model -- 3 Some Preliminary Results -- 3.1 Positive Invariance -- 3.2 Equilibria -- 3.2.1 Plankton Free Equilibrium -- 3.2.2 Zooplankton Free Equilibrium -- 3.2.3 Fish Free Equilibrium -- 3.2.4 Coexistence Equilibrium -- 3.3 Hopf Bifurcation at Coexistence -- 4 The Stochastic Model -- 4.1 Stochastic Stability of the Coexistence Equilibrium -- 5 Numerical Simulations -- 5.1 Effects of n -- 5.2 Effects of m -- 5.3 Effects of r -- 5.4 Effects of h -- 5.5 Hopf-Bifurcation -- 5.6 Environmental Fluctuations -- 6 Discussion -- References -- Optimal Drug Therapy in a Multi-Pathways HIV-1 Infection Model with Immune Response Delay -- 1 Introduction -- 2 Preliminary Results -- 2.1 Existence and Uniqueness of Solution -- 3 Model Analysis with Fixed Controls -- 3.1 Basic Reproduction Number -- 3.2 Equilibria of the System -- 3.3 Stability of the Equilibrium Points -- 3.4 Simulation Results -- 4 The Optimal Control Problem -- 4.1 Existence of an Optimal Control Triplet -- 4.2 Simulation Results -- 4.2.1 Mono-Drug Therapy -- 4.2.2 Multi-Drug Therapy -- 5 Discussion -- References -- Mathematical Models of Acoustically Induced Vaporization of Encapsulated Nanodroplets -- 1 Introduction -- 2 Modelling -- 2.1 Evolution of Bubble Radius Over Time -- 2.2 Pressure Contributions -- 2.3 Temperature Profile -- 2.3.1 Bubble Surface Temperature -- 2.3.2 Temperature Within the Inner and Outer Liquids -- 2.4 Shell Contribution -- 3 Numerical Implementation -- 4 Preliminary Results -- 4.1 Parameters -- 5 Conclusion -- References -- Existence of Closed Trajectories in Lotka-Volterra Systems in R+n -- 1 Introduction -- References. ; Asymptotic Stability Analysis for Chaotic Predator-Prey Model via Active Controlled Hybrid Compound Difference Synchronization Strategy -- 1 Introduction -- 2 Mathematical Preliminaries -- 3 Asymptotic Stability Analysis via ACS -- 4 A Numerical Example -- 5 Numerical Simulations and Discussions -- 5.1 A Comparative Study -- 6 Conclusion -- References -- Modeling Competition in Motionless Populations -- 1 Introduction -- 2 The Single Population Case -- 3 The Competing Sessile Populations Model -- 4 Mobile and Sessile Populations Interactions -- 4.1 Equilibria -- 4.2 Stability -- 5 Two Sessile Populations Interactions -- 5.1 Equilibria -- 5.2 Stability -- 6 Discussion and Conclusions -- 6.1 Sessile vs Mobile Species Competition -- 6.2 The Intra- and Interspecific Competition Effect for Nullclines -- 6.3 The Intra- and Interspecific Interaction and Coexistence Equilibria -- 6.4 Varying Intra- Specific Competition Coefficients for Fixed Values of Interspecific Competition Coefficients -- 6.5 Inter-Specific Competition -- References -- Mathematic Analysis of a SIHV COVID-19 Pandemic Model Taking Into Account a Vaccination Strategy -- 1 Introduction -- 2 Positivity and Boundedness of Solutions -- 3 Steady States and Local Stability -- 3.1 Basic Reproduction Number -- 3.2 Steady States -- 3.3 Local Stability -- 3.3.1 Local Stability of the Disease-Free Equilibrium -- 3.3.2 Local Stability of the Endemic Equilibrium -- 4 Numerical Simulations -- 4.1 Application to Morocco COVID-19 Clinical Data -- 4.2 The Effect of the Vaccination Strategy on COVID-19 Pandemic Spread -- 5 Discussion and Conclusion -- References -- Derivation of Macroscopic Equations from Homogeneous Thermostatted Kinetic Equations in the Cancer-Immune System Competition -- 1 Introduction -- 2 Model at Cell Scale -- 2.1 Thermostatted Kinetic Framework -- 2.2 Macroscopic Equations. ; 3 Results -- 4 Conclusion -- References -- Oscillations in a System Modelling Somite Formation -- 1 Introduction -- 2 The Model -- 3 The Kinetic System -- 4 The Parabolic System -- References -- Socio-Ecological Dynamics Generated by Hydrocarbon Exploration -- 1 Introduction -- 2 System Modeling -- 2.1 Causal Diagram -- 2.2 Forrester Diagram -- 3 Scenarios Assessment -- 3.1 Scenario 1: Pristine Landscape -- 3.2 Scenario 2: Agricultural Landscape -- 3.3 Scenario 3: Landscape of Licit and Illicit Crops -- 4 Conclusions -- References -- The Maximal Extension of the Strict Concavity Region on the Parameter Space for Sharma-Mittal Entropy Measures -- 1 Introduction -- 2 The Sharma-Mittal Class of Entropy Measures -- 3 The Maximal Extension of the Strict Concavity Region in the Parameter Space of Sharma-Mittal (SM) Entropy Measures -- 4 An Example of Systematic Derivation of σk(s) Curves from Data Obtained from the Alignement of Protein Domains -- 5 Concluding Remarks -- Appendix 1: The Construction and Properties of the Probabilistic Space -- Appendix 2: The Origin of the Generalized Khinchin-Shannon Inequalities -- References -- Computational Modeling of Cancer Response to Oncolytic Virotherapy: Improving the Effectiveness of Viral Spread and Anti Tumor Efficacy -- 1 Introduction -- 2 Mathematical Model -- 2.1 Dimensionless Form -- 3 Finite Element Scheme -- 3.1 Variational Formulation -- 3.2 Discrete Problem -- 3.2.1 Temporal Discretization -- 3.2.2 Numerical Scheme -- 4 Numerical Simulation and Results -- 5 Conclusion -- Reference -- Propensity Matrix Method for Age Dependent Stochastic Infectious Disease Models -- 1 Introduction -- 1.1 Gillespie's Stochastic Simulation Algorithms -- 1.1.1 The Direct Method Algorithm -- 1.2 Gillespie's Algorithm for the SIR Model -- 2 The Propensity Matrix Method for Age Dependent Stochastic Epidemic Models. ; 2.1 Algorithm Propensity Matrix Method -- 2.2 The Age Structured SIR Model with Waning Immunity -- 2.3 SEIRD Model with Age Structure and Waning Immunity -- 3 Updating the Propensities -- 3.1 Propensity Matrix Method Extended with the Update Graph -- 4 Experiments -- 5 Summary and Discussion -- References -- Modeling the Insect-Vectors-Mediated Phytoplasm Transmission in Agroecosystems -- 1 Introduction -- 2 The Model Incorporating the Farmer's Behavior -- 2.1 Model Assumptions -- 2.2 Model Setup -- 2.3 Equilibria Analysis -- 2.3.1 The Insect-Only Subsystem -- 2.3.2 The Complete Model -- 2.4 Local Stability Analysis -- 3 The Model with Variable Plant Population -- 3.1 Equilibria Feasibility -- 3.2 Equilibria Stability -- 4 The Effector Protein Action on the Agroecosystem -- References -- An Interdisciplinary Model-Based Study on Emerging Infectious Disease: The Curse of Twenty-First Century -- 1 Introduction -- 2 Literature Review -- 3 Basic Assumptions and Model Formulation -- 4 Some Preliminary Results -- 4.1 Equilibria -- 4.1.1 Disease Free Equilibrium -- 4.1.2 Endemic Equilibrium -- 4.2 Hopf Bifurcation at Coexistence -- 5 Numerical Simulations -- 6 Discussion -- References -- Effect of Incubation Delay in an SIRS Model: Hopf Bifurcation and Stability Switch -- 1 Introduction -- 2 Model Mathematical Form -- 2.1 Positivity and Boundedness -- 2.2 Existence of Equilibrium Point -- 3 Stability Analysis -- 3.1 Existence of Hopf Bifurcation and Switch of Stability Property -- 4 Numerical Observation -- 5 Conclusion -- References -- Modelling the Role of TV and Internet Coverage on Mitigating the Spread of Infectious Diseases -- 1 Introduction -- 2 Model Formulation -- 2.1 Basic Properties -- 2.2 Positivity of Solutions -- 3 Equilibrium Analysis -- 3.1 Basic Reproduction Number -- 3.2 Feasibility of the Endemic Equilibrium -- 4 Local Stability Analysis. ; 5 Existence of Transcritical Bifurcation.
• Titolo autorizzato: Trends in biomathematics: stability and oscillations in environmental, social, and biological models
• ISBN: 9783031125157; 9783031125140
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996503549303316
• Lo trovi qui: Univ. di Salerno