Mathematical Modelling and Simulation Strategies for Controlling Damage to Forest Resources Due to Illegal Logging DOI Open Access

Irene R Naben,

Elinora Naikteas Bano,

Fried M. A. Blegur

et al.

Jurnal Varian, Journal Year: 2024, Volume and Issue: 8(1), P. 39 - 54

Published: Nov. 25, 2024

Forests are one of the natural resources that provide many benefits for welfare living things.The dense population causes people to depend more on forest resources. One them is illegal logging.Various strategies control damage due logging have been carried out, namely by directhandling improve damaged conditions while preventing recurrence damage. The purposeof this research build a mathematical model resource toillegal logging, determine assumptions, formulate model, and conduct analysis problem solvingincluding: determining equilibrium point, stability point,and conducting numerical simulations point. last step interpret results ofthe obtained make conclusions. Based simulation model,it can be concluded taking into account variable strategydue result shows if density has affected thedisturbance around forest, it necessary damagecontrol strategy in order compensate who do lot logging.In maintain so does not quickly become extinct overcomedrought, prevent flooding, groundwater quality, protect animals, reduce air pollution, climatecontrol, dust particles, greenhouse effect, supply fertilizers, erosion,and springs.

Language: Английский

Analysis and modeling with fractal-fractional operator for an epidemic model with reference to COVID-19 modeling DOI Creative Commons
Parvaiz Ahmad Naik, Muhammad Farman, Anum Zehra

et al.

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 10, P. 100663 - 100663

Published: March 15, 2024

Scientists and epidemiologists have been developing vaccines immunizing people to stop the spread of COVID-19. Unfortunately, because emergence new strains persistent infections in different nations, global effort combat disease is still only partially successful. This investigation calculates epidemiological impact COVID-19 under mitigation scenarios, which include non-pharmaceutical interventions. In this work, we develop a time-fractional pandemic model using generalized Mittag-Leffler kernel. The fractal-fractional operator used analyze fluctuation infection rate society. existence uniqueness proposed scheme are addressed by applying Banach contraction principle. Ulam-Hyers stability has confirmed. end, numerical simulations fractional-order carried out lower risk negative effects on As fractional orders approach 1, results classical situation, contrast all other solutions, differ show same behavior. Consequently, order provides deeper insights into epidemic disease. Such research will help understand behavior virus prevention strategies for population.

Language: Английский

Citations

26
Modeling and optimal control of COVID-19 with comorbidity and three-dose vaccination in Indonesia DOI Creative Commons

Muhammad Abdurrahman Rois,

Fatmawati Fatmawati, Cicik Alfiniyah

et al.

Journal of Biosafety and Biosecurity, Journal Year: 2024, Volume and Issue: 6(3), P. 181 - 195

Published: July 6, 2024

This paper presents and examines a COVID-19 model that takes comorbidities up to three vaccine doses into account. We analyze the stability of equilibria, examine herd immunity, conduct sensitivity analysis validated by data on in Indonesia. The disease-free equilibrium is locally globally asymptotically stable whenever basic reproduction number less than one, while an endemic exists when greater one. Subsequently, incorporates two effective measures, namely public education enhanced medical care, determine most advantageous approach for mitigating transmission disease. optimal control then determined using Pontryagin's maximum principle. integrated strategy best method reliably safeguarding general population against infection. Cost evaluations numerical simulations corroborate this conclusion.

Language: Английский

Citations

4
Mathematical modeling, sensitivity analysis, and optimal control of students awareness in mathematics education DOI Creative Commons
Amine El Bhih, Youssef Benfatah,

Habib Hassouni

et al.

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 11, P. 100795 - 100795

Published: July 14, 2024

This article presents a continuous-time mathematical model, EFSMK, integrating various educational categories, serving as valuable tool for understanding students interactions with mathematics. The paper begins by exploring the necessary preliminaries to describe model. Subsequently, we examine model's well-posedness, focusing on positivity and boundedness of solutions. basic reproduction number is then derived using next-generation matrix method. model exhibits two stable states: mathematics-free equilibrium point learning who struggle study shows that when less than one, globally asymptotically stable. Conversely, exceeds mathematics Numerical simulations validate theoretical findings. In last part paper, present structured involving distinct strategies aimed at improving skills encounter difficulties in this subject. first strategy consists offering individualized or small-group tutoring sessions, challenging topics alternative teaching methods. second entails adjusting overall program pedagogical approach better respond diverse needs. uses Pontryagin's maximum principle iterative analysis determine optimal controls. effectiveness these evaluated numerical scenarios.

Language: Английский

Citations

4
Evaluating trade-offs between COVID-19 prevention and learning loss: an agent-based simulation analysis DOI Creative Commons
Kenneth Chen, Eva A. Enns

Royal Society Open Science, Journal Year: 2025, Volume and Issue: 12(4)

Published: April 1, 2025

The COVID-19 pandemic presented significant challenges in educational settings. Schools implemented a variety of mitigation strategies, some which were controversial due to potential disruptions in-person learning. We developed an agent-based model US high school setting evaluate trade-offs between preventing infections versus avoiding learning loss under different policies post-Omicron context. Mitigation included isolation alone and combination with quarantine exposed students, weekly testing all students or (‘test-to-stay’) scenarios mask use booster dose uptake. Outcomes simulated over 11 week trimester. found that requiring full 5 10 day reduced by five sevenfold relative alone, but at cost nearly 40% days lost. Test-to-stay achieved the same level infection reduction lower levels loss. Weekly also was less effective incurred higher than test-to-stay. Universal masking increased vaccination not only no synergized other strategies reduce trade-offs.

Language: Английский

Citations

0
Nonlinear Incidence Induced Bifurcation in a COVID-19 Dynamical Model with Vaccination in Terms of Recovery DOI
Arpita Devi, Praveen Kumar Gupta

Nonlinear systems and complexity, Journal Year: 2025, Volume and Issue: unknown, P. 19 - 34

Published: Jan. 1, 2025

Language: Английский

Citations

0
Mathematical Modelling and Simulation Strategies for Controlling Damage to Forest Resources Due to Illegal Logging DOI Open Access

Irene R Naben,

Elinora Naikteas Bano,

Fried M. A. Blegur

et al.

Jurnal Varian, Journal Year: 2024, Volume and Issue: 8(1), P. 39 - 54

Published: Nov. 25, 2024

Forests are one of the natural resources that provide many benefits for welfare living things.The dense population causes people to depend more on forest resources. One them is illegal logging.Various strategies control damage due logging have been carried out, namely by directhandling improve damaged conditions while preventing recurrence damage. The purposeof this research build a mathematical model resource toillegal logging, determine assumptions, formulate model, and conduct analysis problem solvingincluding: determining equilibrium point, stability point,and conducting numerical simulations point. last step interpret results ofthe obtained make conclusions. Based simulation model,it can be concluded taking into account variable strategydue result shows if density has affected thedisturbance around forest, it necessary damagecontrol strategy in order compensate who do lot logging.In maintain so does not quickly become extinct overcomedrought, prevent flooding, groundwater quality, protect animals, reduce air pollution, climatecontrol, dust particles, greenhouse effect, supply fertilizers, erosion,and springs.

Language: Английский

Citations

1