Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology and Oncology

This reprint contains 11 papers that were reviewed, accepted, and published in the MDPI journal of Mathematics as part of the Special Issue on Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology, and Oncology. The reprint covers a diverse range of topics in mathematical biology,...

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collection Directory of Open Access Books
description This reprint contains 11 papers that were reviewed, accepted, and published in the MDPI journal of Mathematics as part of the Special Issue on Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology, and Oncology. The reprint covers a diverse range of topics in mathematical biology, including contemporary research in epidemiology, ecology, and oncology. The included articles discuss subjects such as monkeypox outbreaks, antiangiogenic therapy for malignant tumors, stochastic epidemic models, optimal treatment for prostate cancer, and models of harmful algal blooms and COVID-19. This collection serves as a foundation for readers to further explore these critical areas of research.
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language eng
publishDate 2025
publishDateRange 2025
publishDateSort 2025
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-1650592025-08-12T07:57:55Z Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology and Oncology Jang, Sophia Yu, Jui-Ling oxygen-plankton model modified Holling type II stability analysis local bifurcations COVID-19 latent infection humoral immunity time delay Lyapunov function global stability mathematical modeling branching models two-sex models models with immigration population dynamics parasite dormancy moving average epidemiology stochasticity coevolution infectious diseases harmful algal bloom Hopf bifurcation stability predictability anomalies environmental fluctuations population fluctuations correlation times temporal correlation colored noise colored environmental fluctuations problems in pharmacology drug toxicity tumor burden state constraints optimal control LCMV intracellular replication mathematical model stochastic description sensitivity analysis MSC 92-10 92B05 92C45 92C70 stochastic numerical scheme consistency diffusive SIRS model partial immunity incidence rate and disease spread mathematical oncology biomechanics partial differential equations monkeypox virus infectious disease mathematical modelling order parameters thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science This reprint contains 11 papers that were reviewed, accepted, and published in the MDPI journal of Mathematics as part of the Special Issue on Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology, and Oncology. The reprint covers a diverse range of topics in mathematical biology, including contemporary research in epidemiology, ecology, and oncology. The included articles discuss subjects such as monkeypox outbreaks, antiangiogenic therapy for malignant tumors, stochastic epidemic models, optimal treatment for prostate cancer, and models of harmful algal blooms and COVID-19. This collection serves as a foundation for readers to further explore these critical areas of research. 2025-08-12T07:57:53Z 2025-08-12T07:57:53Z 2025 book ONIX_20250812T095121_9783725827190_8 9783725827190 9783725827206 https://directory.doabooks.org/handle/20.500.12854/165059 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/10513 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-2720-6 10.3390/books978-3-7258-2720-6 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725827190 9783725827206 246 open access
spellingShingle oxygen-plankton model
modified Holling type II
stability analysis
local bifurcations
COVID-19
latent infection
humoral immunity
time delay
Lyapunov function
global stability
mathematical modeling
branching models
two-sex models
models with immigration
population dynamics
parasite dormancy
moving average
epidemiology
stochasticity
coevolution
infectious diseases
harmful algal bloom
Hopf bifurcation
stability
predictability
anomalies
environmental fluctuations
population fluctuations
correlation times
temporal correlation
colored noise
colored environmental fluctuations
problems in pharmacology
drug toxicity
tumor burden
state constraints
optimal control
LCMV
intracellular replication
mathematical model
stochastic description
sensitivity analysis
MSC
92-10
92B05
92C45
92C70
stochastic numerical scheme
consistency
diffusive SIRS model
partial immunity
incidence rate and disease spread
mathematical oncology
biomechanics
partial differential equations
monkeypox virus
infectious disease
mathematical modelling
order parameters
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology and Oncology
title Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology and Oncology
title_full Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology and Oncology
title_fullStr Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology and Oncology
title_full_unstemmed Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology and Oncology
title_short Mathematical Modeling and Analysis of Problems in Ecology, Epidemiology and Oncology
title_sort mathematical modeling and analysis of problems in ecology epidemiology and oncology
topic oxygen-plankton model
modified Holling type II
stability analysis
local bifurcations
COVID-19
latent infection
humoral immunity
time delay
Lyapunov function
global stability
mathematical modeling
branching models
two-sex models
models with immigration
population dynamics
parasite dormancy
moving average
epidemiology
stochasticity
coevolution
infectious diseases
harmful algal bloom
Hopf bifurcation
stability
predictability
anomalies
environmental fluctuations
population fluctuations
correlation times
temporal correlation
colored noise
colored environmental fluctuations
problems in pharmacology
drug toxicity
tumor burden
state constraints
optimal control
LCMV
intracellular replication
mathematical model
stochastic description
sensitivity analysis
MSC
92-10
92B05
92C45
92C70
stochastic numerical scheme
consistency
diffusive SIRS model
partial immunity
incidence rate and disease spread
mathematical oncology
biomechanics
partial differential equations
monkeypox virus
infectious disease
mathematical modelling
order parameters
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet oxygen-plankton model
modified Holling type II
stability analysis
local bifurcations
COVID-19
latent infection
humoral immunity
time delay
Lyapunov function
global stability
mathematical modeling
branching models
two-sex models
models with immigration
population dynamics
parasite dormancy
moving average
epidemiology
stochasticity
coevolution
infectious diseases
harmful algal bloom
Hopf bifurcation
stability
predictability
anomalies
environmental fluctuations
population fluctuations
correlation times
temporal correlation
colored noise
colored environmental fluctuations
problems in pharmacology
drug toxicity
tumor burden
state constraints
optimal control
LCMV
intracellular replication
mathematical model
stochastic description
sensitivity analysis
MSC
92-10
92B05
92C45
92C70
stochastic numerical scheme
consistency
diffusive SIRS model
partial immunity
incidence rate and disease spread
mathematical oncology
biomechanics
partial differential equations
monkeypox virus
infectious disease
mathematical modelling
order parameters
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20250812T095121_9783725827190_8