Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
3.5
2.4
Journals
Mathematics
Special Issues
Advances in Mathematical Biology and Applications
share announcement

Advances in Mathematical Biology and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Biology".

Deadline for manuscript submissions: 31 May 2024 | Viewed by 1389

Special Issue Editor

Dr. Necibe Tuncer

E-Mail Website
Guest Editor
Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, USA
Interests: mathematical epidemiology; age structured PDE models; immuno-epidemiological models; structural and practical identifiability of nested epidemiological models

Special Issue Information

Dear Colleagues,

In recent years, there has been growing interest many exciting developments in the application of mathematics to understand biological systems. Mathematical modeling has been used to study various aspects of biological systems, including gene regulation, cell signaling, epidemiology, population dynamics, and ecosystem interactions. These models have provided insights into the behavior of biological systems, helping to explain the observed phenomena and predict the outcomes of experiments.

To further advance the field of mathematics in biological systems, we invite papers that explore new mathematical models, develop innovative techniques for analyzing biological data, or apply existing mathematical tools to address important questions in biology.

We welcome papers from a range of disciplines, including mathematics, biology, physics, and computer science, among others. Our goal is to provide a platform for researchers to share their latest findings and insights and to foster collaborations that will lead to new discoveries in this exciting and rapidly evolving field.

Dr. Necibe Tuncer
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mathematical modeling
  • differential equations
  • network analysis
  • systems biology
  • computational biology
  • biomathematics
  • population dynamics
  • epidemiology
  • bioinformatics
  • stochastic processes
  • nonlinear dynamics
  • optimization
  • data analysis

Published Papers (2 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

25 pages, 929 KiB  
Article
Impulsive Effects and Complexity Dynamics in the Anti-Predator Model with IPM Strategies
by Wenjie Qin, Zhengjun Dong and Lidong Huang
Mathematics 2024, 12(7), 1043; https://doi.org/10.3390/math12071043 - 30 Mar 2024
Viewed by 416
Abstract
When confronted with the imminent threat of predation, the prey instinctively employ strategies to avoid being consumed. These anti-predator tactics involve individuals acting collectively to intimidate predators and reduce potential harm during an attack. In the present work, we propose a state-dependent feedback [...] Read more.
When confronted with the imminent threat of predation, the prey instinctively employ strategies to avoid being consumed. These anti-predator tactics involve individuals acting collectively to intimidate predators and reduce potential harm during an attack. In the present work, we propose a state-dependent feedback control predator-prey model that incorporates a nonmonotonic functional response, taking into account the anti-predator behavior observed in pest-natural enemy ecosystems within the agricultural context. The qualitative analysis of this model is presented utilizing the principles of impulsive semi-dynamical systems. Firstly, the stability conditions of the equilibria are derived by employing pertinent properties of planar systems. The precise domain of the impulsive set and phase set is determined by considering the phase portrait of the system. Secondly, a Poincaré map is constructed by utilizing the sequence of impulsive points within the phase set. The stability of the order-1 periodic solution at the boundary is subsequently analyzed by an analog of the Poincaré criterion. Additionally, this article presents various threshold conditions that determine both the existence and stability of an order-1 periodic solution. Furthermore, it investigates the existence of order-k (k≥2) periodic solutions. Finally, the article explores the complex dynamics of the model, encompassing multiple bifurcation phenomena and chaos, through computational simulations. Full article
(This article belongs to the Special Issue Advances in Mathematical Biology and Applications)
►▼ Show Figures

Figure 1

19 pages, 784 KiB  
Article
Ultimate Dynamics of the Two-Phenotype Cancer Model: Attracting Sets and Global Cancer Eradication Conditions
by Anatolij N. Kanatnikov and Konstantin E. Starkov
Mathematics 2023, 11(20), 4275; https://doi.org/10.3390/math11204275 - 13 Oct 2023
Viewed by 725
Abstract
In this paper we consider the ultimate dynamics of one 4D cancer model which was created for studying the immune response to the two-phenotype tumors. Our approach is based on the localization method of compact invariant sets. The existence of a positively invariant [...] Read more.
In this paper we consider the ultimate dynamics of one 4D cancer model which was created for studying the immune response to the two-phenotype tumors. Our approach is based on the localization method of compact invariant sets. The existence of a positively invariant polytope is shown and its size is calculated depending on the parameters of this cancer model. Various convergence conditions to the tumor free equilibrium point were proposed. This property has the biological meaning of global asymptotic tumor eradication (GATE). Further, the case in which local asymptotic tumor eradication (LATE) conditions entail GATE conditions was found. Our theoretical studies of ultimate dynamics are complemented by numerical simulation results. Full article
(This article belongs to the Special Issue Advances in Mathematical Biology and Applications)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-2
Back to TopTop