Communication in Biomathematical Sciences https://journals.itb.ac.id/index.php/cbms <p><a href="https://journals.itb.ac.id/index.php/cbms"><img class="imgdesc" src="https://journals.itb.ac.id/public/site/images/budini/cbms-small.png" alt="" width="189" height="265" /></a></p> <p style="text-align: justify;"><strong>Communication in Biomathematical Sciences</strong> welcomes full research articles in the area of <em>Applications of Mathematics in biological processes and phenomena</em>. Review papers with insightful, integrative and up-to-date progress of major topics are also welcome. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.</p> <p style="text-align: justify;">Review articles describing recent significant developments and trends in the fields of biomathematics are also welcome.</p> <p style="text-align: justify;">The editorial board of CBMS is strongly committed to promoting recent progress and interdisciplinary research in Biomatematical Sciences.</p> <p style="text-align: justify;"><strong>Communication in Biomathematical Sciences published by <a href="https://ppms.itb.ac.id/ibms/" target="_blank" rel="noopener">The Indonesian Biomathematical Society</a>.</strong></p> <p>e-ISSN: <a href="https://portal.issn.org/resource/ISSN/2549-2896" target="_blank" rel="noopener">2549-2896</a></p> <p>Accreditation <a href="https://lppm.itb.ac.id/wp-content/uploads/sites/55/2021/12/Hasil_Akreditasi_Jurnal_Nasional_Periode_1_Tahun_2020.pdf" target="_blank" rel="noopener">No. 85/M/KPT/2020</a></p> The Indonesian Bio-Mathematical Society en-US Communication in Biomathematical Sciences 2549-2896 Deterministic dengue control model in its seasonal transmission dynamics https://journals.itb.ac.id/index.php/cbms/article/view/23667 <p>A seasonal dengue model is amended with control variables to propose optimal strategies for reduction and prevention of dengue in some community. These variables express feasible control actions to be taken by an external decision-maker: the first control variable represents insecticide spraying, aimed at suppressing the vector population, and the second control variable expresses the protection measures (such as the use of repellents, mosquito nets and insecticide-treated clothing) that are intended to reduce the number of contacts (bites) between female mosquitoes (main transmitters of dengue) and human individuals. The existence of an optimal control strategy is provided and Pontryagin maximum principle is applied to derive the optimal controls, through which the costs associated with its application are minimized, while minimizing the total number of exposed and symptomatic people and the number of carrier mosquitoes; the optimality system is solved numerically for eight control scenarios.</p> Julián Olarte Copyright (c) 6 2 SOLVING FRACTIONAL EPIDEMIOLOGICAL COMPUTER WORMS USING IMPLICIT NEW ITERATIVE METHOD https://journals.itb.ac.id/index.php/cbms/article/view/23612 <pre>In the present work, inspired by the study of the propagation of biological viruses, the compartment approach is used to describe the propagation of computer viruses and worms in a network. To secure data passing through the network, you must understand how viruses spread and how they operate. We consider a modified FSIRA (Fractional-Susceptible-Infected-Recovered-Antidotal) model. To give an approximate solution to this model, we will present and implement a new implicit iterative method as well as a partitioning version for large time intervals. To show the effectiveness and adequacy of the proposed method, we give some numerical results of the solutions obtained by the proposed methods for different periods. It should be noted that our method can be applied to other types of virus propagation models.</pre> Karim RHOFIR Copyright (c) 6 2 SOLVING FRACTIONAL EPIDEMIOLOGICAL COMPUTER WORMS USING IMPLICIT NEW ITERATIVE METHOD https://journals.itb.ac.id/index.php/cbms/article/view/23611 <pre>In the present work, inspired by the study of the propagation of biological viruses, the compartment approach is used to describe the propagation of computer viruses and worms in a network. To secure data passing through the network, you must understand how viruses spread and how they operate. We consider a modified FSIRA (Fractional-Susceptible-Infected-Recovered-Antidotal) model. To give an approximate solution to this model, we will present and implement a new implicit iterative method as well as a partitioning version for large time intervals. To show the effectiveness and adequacy of the proposed method, we give some numerical results of the solutions obtained by the proposed methods for different periods. It should be noted that our method can be applied to other types of virus propagation models.</pre> Karim RHOFIR Copyright (c) 6 2 The Spread of Rumors in Society: A Mathematical Modeling Approach in Election Case Studies https://journals.itb.ac.id/index.php/cbms/article/view/23604 <p>Rumors can be defined as unverified information or statements shared by people that may be positive or negative and circulate without confirmation. Since humans naturally seek factual information for social and self-enhancement purposes, rumors become an inevitable aspect of human life, including in politics, such as elections. The complexity of the electoral process, with various factors such as individual candidates, social circumstances, and especially the media, leads to the dynamic spread of rumors in society. Thus, it is both interesting and important to understand the dynamics of rumor spreading, particularly in the context of elections. In this article, we formulate a mathematical model of rumor spread dynamics based on different attitudes of people toward rumors. The model considers the spread of rumors about two candidates in the electoral context. From the model, we derived and investigated the basic reproductive number (R0) as a threshold for rumor spread and conducted a sensitivity analysis with respect to all the model parameters. Based on numerical experiments and simulations, it was revealed that the number of people resistant to or disbelieving in rumors increases significantly in the first ten days and remains higher than other subpopulations for at least after first seven days. Furthermore, we found that a high number of people directly affected by rumors, combined with the rumor transmission rate for both candidates being greater than each other, are necessary and sufficient conditions for rumors to circulate rapidly and remain stable in society. The results of this study can be interpreted and considered as a campaign strategy in an electoral context.</p> Stefanus Raynaldo Septyawan Esther Yolandyne Bunga Nuning Nuraini Jayrold P. Arcede Copyright (c) 6 2