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Differential Equation Models in Applied Mathematics

The present book contains the articles published in the Special Issue “Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges” of the MDPI journal Mathematics. The Special Issue aimed to highlight old and new challenges in the formulation, solution, understanding,...

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Médium: Online
Jazyk:angličtina
Vydáno: MDPI - Multidisciplinary Digital Publishing Institute 2022
Témata:
epidemic models
backward bifurcation
hysteresis
referral marketing
self-information
multi-domain network
transmission conditions
finite difference schemes
chemotaxis
reaction-diffusion models
fractional differential equations
stability
linear systems
multi-order systems
Mittag–Leffler function
on–off intermittency
dynamical systems
theoretical ecology
stochastic forcing
hastings-powell model
food chain
Sobolev type equation
inverse problem
high-order equation
method of successive approximations
polynomial boundedness of operator pencils
fourth-order differential equations
neutral delay
oscillation
optimal control
indirect methods
boundary value problems
n/a
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
On-line přístup:ONIX_20220224_9783036530116_123
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Shrnutí:The present book contains the articles published in the Special Issue “Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges” of the MDPI journal Mathematics. The Special Issue aimed to highlight old and new challenges in the formulation, solution, understanding, and interpretation of models of differential equations (DEs) in different real world applications. The technical topics covered in the seven articles published in this book include: asymptotic properties of high order nonlinear DEs, analysis of backward bifurcation, and stability analysis of fractional-order differential systems. Models oriented to real applications consider the chemotactic between cell species, the mechanism of on-off intermittency in food chain models, and the occurrence of hysteresis in marketing. Numerical aspects deal with the preservation of mass and positivity and the efficient solution of Boundary Value Problems (BVPs) for optimal control problems. I hope that this collection will be useful for those working in the area of modelling real-word applications through differential equations and those who care about an accurate numerical approximation of their solutions. The reading is also addressed to those willing to become familiar with differential equations which, due to their predictive abilities, represent the main mathematical tool for applying scenario analysis to our changing world.

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