81 hasil
Menampilkan 1–20 · 0,50 detik · RSS
Communication in Biomathematical Sciences
Scopus
ISSN 2549-2896 · Indonesian Bio-Mathematical Society · 81 artikel di indeks
-
Artikel Jurnal
Optimal Control Analysis in the Treatment of Solid Tumors using Combined Therapy
In this paper, we develop and analyze a mathematical model that describes the dynamic interactions and competitions among tumor cells, normal cells, immune cells, and transforming growth factor-beta within the tumor microenvironment. We conducted qualitative analyses to examine the persistence or…
-
Artikel Jurnal
On the Role of Early Case Detection and Treatment Failure in Controlling Tuberculosis Transmission: A Mathematical Modeling Study
Tuberculosis (TB) remains a pressing global health concern, demanding urgent attention to mitigate its spread and impact. In this study, we present a rigorous mathematical model of TB transmission that incorporates early case detection and addresses the critical issue of treatment failure. Through…
-
Artikel Jurnal
A Simple Modelling of Microscopic Epidemic Process with Two Vaccine Doses on a Synthesized Human Interaction Network
In this study, we illustrate the incorporation of two vaccine doses into a discrete SIR model to aid in the decision-making process for optimal vaccination strategies. We present a basic model of a human interaction network synthesized to depict social contacts within a population, taking into…
-
Artikel Jurnal
On Data Driven SIRD Model of Delta and Omicron Variants of COVID-19
The compartmental model stands as a cornerstone in quantitatively describing the transmission dynamics of diseases. Through a series of assumptions, this model can be formulated and subsequently validated against real-world conditions. Leveraging the abundance of COVID-19 data presently available…
-
Artikel Jurnal
Impact of Nanomaterial in the Marine Environment: Through Mathematical Modelling by Eco-Path Framework
We propose and analyze a simple modification to the Rosenzweig-MacArthur predator (zooplankton)-prey (phytoplankton) model to account for the interference of the predators with the impacts of nanoparticles. We have taken into account the influence of predators by quantifying the impact of…
-
Artikel Jurnal
Mathematical Model of Social Interaction between the Sufferers of Cardiovascular and Type 2 Diabetes Mellitus
Type 2 diabetes mellitus is a non-communicable medical condition that is most commonly suffered in compare to type 1 diabetes, gestational diabetes, or diabetes that is caused by pathogen or disorders. The other important non-communicable medical condition is cardiovascular disease that occurs due…
-
Artikel Jurnal
Optimal Control Strategies on Mobility for Preventing COVID-19 Transmission: A study with A Three-Patch Compartmental Model
Human mobility can be identified as one of the main factors that directly affect the spread of COVID-19. Accordingly, human mobility must be controlled in a proper way to deficit the spread of COVID-19 as the economy of a country depends on human mobility. Nevertheless, due to the lack of proper…
-
Artikel Jurnal
Deterministic Double Dose Vaccination Model of COVID-19 Transmission Dynamics - Optimal Control Strategies with Cost-Effectiveness Analysis
In this study, we propose a deterministic double dose vaccination model of COVID-19 transmission dynamics optimal control with cost-effectiveness analysis. It is imperative for decision-makers and the government to prioritize the application of preventive and control measures for COVID-19 based on…
-
Artikel Jurnal
Pongo Abelii Population Model with Changes in Carrying Capacity
Pongo abelii is an endangered orangutan species. The reduction of Pongo abelii can be caused by the removal or loss of orangutans from the population and habitat loss. In general, research on population dynamics with changing carrying capacity is rarely done and it is simulated in this study. We…
-
Artikel Jurnal
A Numerical Study of Codimension-Two Bifurcations of an SIR-Type Model for COVID-19 and Their Epidemiological Implications
We study the codimension-two bifurcations exhibited by a recently-developed SIR-type mathematical model for the spread of COVID-19, as its two main parameters -the susceptible individuals' cautiousness level and the hospitals' bed-occupancy rate- vary over their domains. We use AUTO to generate the…
-
Artikel Jurnal
Dynamics of A Discrete-Time Ecogenetic Predator-Prey Model
This article considers a discrete-time model of two genetically distinguished predator population and one prey population. The existence and nature of the boundary and positive fixed points are examined. The sufficient criterion for Neimark-Sacker bifurcation (NSB) is derived. It is observed that…
-
Artikel Jurnal
Study of A Delayed SIVA Within-Host Model of Dengue Virus Transmission
During the process of immune response to the infection caused by dengue virus, antibodies are generated by plasma cells which are produced by B-cells. In some cases, it is observed that there is a delay in the production of plasma cells from B-cells which causes a delay in the immune response. We…
-
Artikel Jurnal
Qualitative Behavioral Analysis in Mosquito Dynamics Model with Wolbachia
The Aedes Aegypti mosquito is the primary vector that can transmit diseases to humans such as zika, dengue fever, chikungunya, and yellow fever. This mosquito species is controlled to reduce the frequency of its bites on humans. Several methods have been developed to control mosquito populations…
-
Artikel Jurnal
Combatting Malaysia's Dengue Outbreaks with Auto-Dissemination Mosquito Traps: A Hybrid Stochastic-Deterministic SIR Model
Classical mosquito control methods (e.g. chemical fogging) struggle to sustain long-term reductions in mosquito populations to combat vector-borne diseases like dengue. The Mosquito Home System (MHS) is an auto-dissemination mosquito trap, that kills mosquito larvae before they hatch into adult…
-
Artikel Jurnal
Blood Glucose Control on Diabetic Patient Type I using Sliding Mode Adaptive Control
Diabetes is a metabolic disorder due to insufficient insulin synthesis or inadequate insulin sensitivity. The Bergman’s minimal model describes the dynamics of blood glucose levels in type 1 diabetics. The model has control inputs in the form of insulin injections and covers external disturbance…
-
Artikel Jurnal
Mathematical Model and Dynamics Analysis of the Stingless Bee (Trigona sp.) in A Colony
Trigona sp. is a stingless bee species that is widely distributed in tropical countries. It has castes in the colony, i.e. queen, worker, and male bee. Despite its size, Trigona sp. can produce high-quality commodities such as honey, propolis, and bee pollen. However, it is a vulnerable species…
-
Artikel Jurnal
Nonstandard Numerical Scheme for a Predator-Prey Model Involving Predator Cannibalism and Refuge
In this study, we implement a Nonstandard Finite Difference (NSFD) scheme for a predator-prey model involving cannibalism and refuge in predator. The scheme which is considered as a discrete dynamical system is analyzed. The performed analysis includes the determination of equilibrium point and its…
-
Artikel Jurnal
Data-Driven Generating Operator in SEIRV Model for COVID-19 Transmission
The COVID-19 (SARS-CoV-2) vaccine has been extensively implemented through large-scale programs in numerous countries as a preventive measure against the resurgence of COVID-19 cases. In line with this vaccination effort, the Indonesian government has successfully inoculated over 74% of its…
-
Artikel Jurnal
Mathematical Model and Study of Viral Hepatitis among Population in Afghanistan
Despite availability of strategies against viral hepatitis, it is still a serious disease, which millions of people are already infected with, hence it yet needs to be focused on. As an attempt, we formulated a single mathematical model describing behaviour of all strains of viral hepatitis…
-
Artikel Jurnal
The 2021 Cholera Outbreak in Nigeria, Data and Models Used to Explore Controls and Challenges
Cholera is an acute diarrhoeal illness that affects humanity globally, especially in areas where there is limited access to clean water and adequate sanitation. A Nigerian cholera outbreak from January 2021 to January 2022 resulted in many cases and deaths. A mathematical model that takes into…