Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
1.1
0.7
Journals
AppliedMath
Special Issues
Advanced Mathematical Modeling, Dynamics and Applications
share announcement

Advanced Mathematical Modeling, Dynamics and Applications

A special issue of AppliedMath (ISSN 2673-9909).

Deadline for manuscript submissions: 30 April 2026 | Viewed by 728

Special Issue Editor

Dr. Ophir Nave

E-Mail Website
Guest Editor
1. Department of Mathematics, Faculty of Science, Jerusalem College of Technology, Jerusalem, Israel
2. Faculty of Computer Science, College of Management Academic Studies, Rishon LeZion, Israel
Interests: mathematical models of cancer; asymptotic analysis; method of integral invariant manifold; numerical

Special Issue Information

Dear Colleagues,

This Special Issue aims to focus on the application of mathematical and computational methods in the sciences, with particular emphasis on cancer modeling. We welcome studies investigating the interactions between tumors, the immune system, and therapies such as chemotherapy and immunotherapy. The submission of research addressing various cancer types—including bladder, breast, prostate, liver, brain, and cervical cancers—is encouraged.

Additionally, submissions employing advanced numerical, semi-analytical, analytical, or asymptotic techniques to analyze these models are of interest. The stability analysis of equilibrium points, offering insights into treatment efficacy and disease progression, is particularly relevant.

Furthermore, contributions exploring machine learning applications in oncology, especially in the analysis of large tumor datasets, are invited. Studies integrating machine learning with mathematical modeling to enhance predictive accuracy and optimize treatment strategies are especially welcome.

Dr. Ophir Nave
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 250 words) can be sent to the Editorial Office for assessment.

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. AppliedMath is an international peer-reviewed open access monthly 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 1200 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
  • computational methods
  • cancer modeling
  • numerical techniques
  • semi-analytical methods
  • analytical solutions
  • asymptotic analysis
  • stability analysis

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (3 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

31 pages, 4613 KB  
Article
An Inventory Model for Growing Items with Imperfect Quality, Deterioration, and Freshness- and Inventory Level-Dependent Demand Under Carbon Emissions
by Kapya Tshinangi, Olufemi Adetunji and Sarma Yadavalli
AppliedMath 2025, 5(4), 181; https://doi.org/10.3390/appliedmath5040181 - 12 Dec 2025
Viewed by 149
Abstract
Inventory models have evolved to incorporate a wide range of realistic factors, including growing items, imperfect quality, deterioration, and sustainability concerns. While these areas have received significant individual attention, no model has yet integrated the complexities of growing items, imperfect quality, deterioration, and [...] Read more.
Inventory models have evolved to incorporate a wide range of realistic factors, including growing items, imperfect quality, deterioration, and sustainability concerns. While these areas have received significant individual attention, no model has yet integrated the complexities of growing items, imperfect quality, deterioration, and carbon emissions. This study addresses this gap by introducing an economic order quantity (EOQ) model for growing items that simultaneously accounts for imperfect quality, deterioration, carbon emissions, and a demand rate that is influenced by both stock levels and the freshness condition. The goal is to determine the replenishment cycle and the optimal order quantity that will maximise profit. A numerical example is presented to illustrate the model’s feasibility. A sensitivity analysis on key parameters is also conducted to provide critical managerial insights. The results reveal that the shelf life of items and the scaling parameter of demand are among the most influential factors of profit, causing up to 150% and 112% increase in profit, respectively. The findings also indicate that deterioration significantly impacts system profitability by up to −45%. Another critical insight is that profit decreases by up to 80% when the weight of the growing items increases. Furthermore, emissions can be most effectively reduced by focusing on the feeding process, which represents the most impactful factor for improving sustainability, whereas emissions from the screening process, purchasing, deterioration, and storage hold minimal financial consequence. Full article
(This article belongs to the Special Issue Advanced Mathematical Modeling, Dynamics and Applications)
►▼ Show Figures

Figure 1

25 pages, 1007 KB  
Article
Impact of Cattaneo–Christov Fluxes on Bio-Convective Flow of a Second-Grade Hybrid Nanofluid in a Porous Medium
by Mapule Pheko, Sicelo P. Goqo, Salma Ahmedai and Letlhogonolo Moleleki
AppliedMath 2025, 5(4), 180; https://doi.org/10.3390/appliedmath5040180 - 12 Dec 2025
Viewed by 174
Abstract
This paper investigates the flow of a second-grade hybrid nanofluid through a Darcy–Forchheimer porous medium under Cattaneo–Christov heat and mass flux models. The hybrid nanofluid, composed of alumina and copper nanoparticles in water, enhances thermal and mass transport, while the second-grade model captures [...] Read more.
This paper investigates the flow of a second-grade hybrid nanofluid through a Darcy–Forchheimer porous medium under Cattaneo–Christov heat and mass flux models. The hybrid nanofluid, composed of alumina and copper nanoparticles in water, enhances thermal and mass transport, while the second-grade model captures viscoelastic effects, and the Darcy–Forchheimer medium accounts for both linear and nonlinear drag. Using similarity transformations and the spectral quasilinearisation method, the nonlinear governing equations are solved numerically and validated against benchmark results. The results show that hybrid nanoparticles significantly boost heat and mass transfer, while Cattaneo–Christov fluxes delay thermal and concentration responses, reducing the near-wall temperature and concentration. The distributions of velocity, temperature, concentration, and microorganism density are markedly affected by porosity, the Forchheimer number, the bio-convection Peclet number, and relaxation times. The results illustrate that hybrid nanoparticles significantly increase heat and mass transfer, whereas thermal and concentration relaxation factors delay energy and species diffusion, thickening the associated boundary layers. Viscoelasticity, porous medium resistance, Forchheimer drag, and bio-convection all have an influence on flow velocity and transfer rates, highlighting the subtle link between these mechanisms. These breakthroughs may be beneficial in establishing and enhancing bioreactors, microbial fuel cells, geothermal systems, and other applications that need hybrid nanofluids and non-Fourier/non-Fickian transport. Full article
(This article belongs to the Special Issue Advanced Mathematical Modeling, Dynamics and Applications)
►▼ Show Figures

Figure 1

24 pages, 546 KB  
Article
Stochastic Analysis of a System of Two Interconnected Inventories
by Venkata S. S. Yadavalli, Kapya Tshinangi and Olufemi Adetunji
AppliedMath 2025, 5(4), 174; https://doi.org/10.3390/appliedmath5040174 - 5 Dec 2025
Viewed by 132
Abstract
This paper considers a continuous review inventory system for two interconnected product types, 1 and 2. Product type 1 is purchased from an external agency, whereas type 2 is manufactured in-house through a sequential batching process. The maximum stock position attainable by type [...] Read more.
This paper considers a continuous review inventory system for two interconnected product types, 1 and 2. Product type 1 is purchased from an external agency, whereas type 2 is manufactured in-house through a sequential batching process. The maximum stock position attainable by type 1 is S1 and that of type 2 is S2. Unit demands arise independently for the two products, where type 1 demand arrives following a Poisson process with rate λ1 and that for product B also follows a Poisson process with rate λ2. At the instance of the stock level of type 1 dropping to zero, it is replenished instantaneously to the maximum level S1, such that the stock level is never zero, and hence all demands for type 1 product are satisfied. The production machine attached to type 2 stops manufacturing immediately when its stock level reaches S2, and resumes immediately when the stock level drops to S2−1. In the event of the type 2 product not being available when demand arrives, it is substituted with the type 1 product with probability p. The production time for a single unit of type 2 is exponentially distributed with mean 1γ. We identify the underlying Markov process and analyse the performance of the interconnected inventory system. Full article
(This article belongs to the Special Issue Advanced Mathematical Modeling, Dynamics 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 1-3
Back to TopTop