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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Atma Inovasia
Tarita Intan Soraya
Institut Teknologi Statistika dan Bisnis Muhammadiyah Semarang
Humanities Decision Sciences, Operations Research & Management Environmental Science Mathematics Social Sciences Other

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Modeling the Dynamics of Cardiovascular Disease Using a SEICRD Framework Arista Fitri Diana; Mia Siti Khumaeroh; Tarita Intan Soraya
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 11, No 1 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v11i1.41645

Abstract

Cardiovascular disease remains a major public health challenge worldwide, often progressing silently toward chronic complications. Increasing awareness through media and individual behavioral responses plays an important role in preventing disease transmission and reducing long-term complications. Motivated by this, we formulate a deterministic compartmental model to investigate the dynamics of cardiovascular disease by incorporating media awareness and individual awareness as control-related parameters. The population is divided into susceptible, exposed, infected, chronic, recovered, and deceased compartments. A qualitative analysis of the linear dynamical system is carried out, including positivity of solutions, bound- edness, equilibrium points, and local stability analysis using eigenvalue criteria. Numerical simulations are performed to illustrate the effects of key epidemiological and awareness-related parameters on disease progression. The simulation results indicate that increased media and individual awareness significantly reduce the long-term burden of chronic cardiovascular complications. In contrast, higher incidence and disease progression rates lead to increased accumulation in the chronic compartment, even when the number of active infections declines more rapidly. Sensitivity analysis confirms that awareness parameters have a negative influ- ence on chronic disease prevalence, whereas core epidemiological parameters exert a strong positive effect. These findings highlight the critical role of awareness-based interventions in mitigating chronic cardiovascular disease and provide a quantitative framework to support effective prevention and control strategies.
Pengenalan Investasi dan Asuransi sebagai Strategi Penguatan Literasi Keuangan : (Penyuluhan Ibu PKK Dusun Sidawung, Kendal) Lathifatul Aulia; Arista Fitri Diana; Zakaria Bani Ikhtiyar; Wulan Bhakti Pertiwi; Nova Putri Ardelia; Qurota A’yun; Tarita Intan Soraya
Jurnal Atma Inovasia Vol. 6 No. 3 (2026)
Publisher : Lembaga Penelitian dan Pengabdian pada Masyarakat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24002/jai.v6i3.13719

Abstract

The dynamic development of socio-economic conditions, accompanied by increasing household needs and income uncertainty, requires communities to possess sound and sustainable financial management capabilities. Women, particularly housewives and micro-enterprise actors, play a strategic role in managing household and business finances. However, limited understanding of financial planning, investment, and insurance remains a major challenge that may increase vulnerability to financial risks. One strategic measure to strengthen household economic resilience is the enhancement of financial literacy through targeted and contextual education, especially regarding the introduction of investment and insurance as instruments for financial planning and risk protection. This community service program aims to improve women’s financial literacy through educational activities focusing on the basic principles of investment and insurance, as well as their application in the context of entrepreneurship and household financial management. The target participants are members of the PKK Women’s Group in Sidawung Hamlet, Kali Gading Village, Boja Subdistrict, Kendal Regency. The implementation methods include interactive lectures, simple demonstrations, discussions based on local case studies, and evaluation through pre–post tests. Indicators of program success include improvements in participants’ financial literacy scores, enhanced understanding of investment and insurance concepts, and increased motivation to adopt regular saving habits, maintain business financial records, and consider appropriate simple investment instruments and insurance products. The expected outcomes of this program are improved basic financial literacy knowledge and skills, as well as the development of follow-up action plans by the PKK group related to financial management and risk protection for family-based enterprises.
Co-Authors Arista Fitri Diana Lathifatul Aulia Mia Siti Khumaeroh Nova Putri Ardelia Qurota A’yun Wulan Bhakti Pertiwi Zakaria Bani Ikhtiyar