Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown
Published: Nov. 20, 2024
Language: Английский
AIP Advances, Journal Year: 2024, Volume and Issue: 14(1)
Published: Jan. 1, 2024
Fractional calculus and fractal theory remain significant tools in modeling complex real-world problems biology life science. In this study, we formulated a compartmental mathematical model using the Caputo fractional fractal–fractional operators to study dynamics transmission of Nipah virus infection. Initially, is developed by system seven nonlinear ordinary differential equations that govern viral concentration, flying fox, human populations. Furthermore, restructured more general approaches based on gain valuable insights into transmission. The necessary properties model, such as uniqueness existence both cases, were investigated, possible equilibrium points with their presented. parameters are estimated basis clinical epidemiology outbreak Bangladesh, one most affected regions. stability studied applying Ulam–Hyers Ulam–Hyers–Rassias conditions. Moreover, computational schemes for cases interpolation techniques. Finally, detailed simulation was presented validate theoretical findings. We affirm present findings will help researchers incorporate advanced techniques infectious disease control studies.
Language: Английский
Citations
9
Modeling Earth Systems and Environment, Journal Year: 2024, Volume and Issue: 10(4), P. 5427 - 5448
Published: July 6, 2024
Language: Английский
Citations
7
PLoS ONE, Journal Year: 2025, Volume and Issue: 20(1), P. e0309360 - e0309360
Published: Jan. 14, 2025
In biology and life sciences, fractal theory fractional calculus have significant applications in simulating understanding complex problems. this paper, a compartmental model employing Caputo-type fractal-fractional operators is presented to analyze Nipah virus (NiV) dynamics transmission. Initially, the includes nine nonlinear ordinary differential equations that consider viral concentration, flying fox, human populations simultaneously. The reconstructed using better understand NiV transmission dynamics. We model’s existence uniqueness both contexts instigate equilibrium points. clinical epidemiology of Bangladesh used estimate parameters. stability examined Ulam-Hyers Ulam-Hyers-Rassias stabilities. Moreover, interpolation methods are construct computational techniques simulate cases. Simulations performed validate stable behavior for different orders. present findings will be beneficial advanced approaches modeling control outbreaks.
Language: Английский
Citations
0
PLoS ONE, Journal Year: 2025, Volume and Issue: 20(4), P. e0317408 - e0317408
Published: April 16, 2025
This paper presents an innovative mathematical model for assessing the dynamics and optimal control of Nipah virus (NiV) with imperfect vaccination. The formulation considers transmissions through contaminated food human-to-human contacts. It also incorporates potential transmission contact a deceased body infected NiV. Initially, NiV is assessed theoretically, identifying three distinct equilibrium states: NiV-endemic state, NiV-free state involving flying foxes. Furthermore, stability results in case constant controls are thoroughly analyzed at equilibrium. Some parameters estimated based on cases documented Bangladesh from 2001 to 2017. We further perform sensitivity analysis determine most influential formulate effective time-dependent controls. Numerical simulations indicate course action eradicating disease provide comparative controlling infection under time-varying interventions. simulation confirms that implementation interventions minimizing incidence.
Language: Английский
Citations
0
Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)
Published: July 30, 2024
In the last two decades, Nipah virus (NiV) has emerged as a significant paramyxovirus transmitted by bats, causing severe respiratory illness and encephalitis in humans. NiV been included World Health Organization's Blueprint list of priority pathogens due its potential for human-to-human transmission zoonotic characteristics. this paper, mathematical model is formulated to analyze dynamics optimal control NiV. formulation we consider modes transmission: food-borne. Further, impact contact with an infected corpse route also model. The analysis identifies constant controls three equilibrium states: NiV-free equilibrium, flying foxes-free NiV-endemic state. Furthermore, theoretical conducted presents stability equilibria. fitting reported cases Bangladesh from 2001 2015, estimation parameters are performed using standard least squares technique. Sensitivity model-embedded provided set time-dependent disease eradication. necessary optimality conditions derived Pontryagin's maximum principle. Finally, numerical simulation determine most effective strategy eradication confirm results.
Language: Английский
Citations
3
Gene, Journal Year: 2024, Volume and Issue: 905, P. 148174 - 148174
Published: Jan. 18, 2024
Language: Английский
Citations
2
Published: Feb. 13, 2024
respectively.Light blue, gray, and lemon yellow colored ellipses depict compartments for humans, bats, pigs, respectively. . 4.3The best fitting solution plotted with 12 weeks data Negeri Sembilan state, Malaysia started from February 3, 1999 .4.4 Partial Rank Correlation Coefficients (PRCC). .4.5 Cumulative infected cases various values of disease parameters. .4.6 Number cumulative culling rates pigs different time culling. .6.1 Transmission diagram.Red dashed arrows indicate the transition one compartment to another.Green gray new entry exit death respectively.The blue arrow represents virus transmission.Light boxes .6.2 Extinction NiV when R 0 = 0.85 < 1 parameter in Table 6.2(Example 1) .6.3 0.98 6.2 (Example 2) .6.4 Persistence 3.2 > .v 7.1 diagram.Blue another, green black entries released .7.2 Global dynamics model (7.2) .7.3 Model applied Ebola first 38 2015 epidemic Guinea, Liberia, Sierra Leone .7.4 changing β2 α along their parallel application. .7.5 (7.1) COVID-19 spring 2021 Finland .7.6 β 2 .7.7 2001 Nipah outbreak Siliguri, India. .7.8
Language: Английский
Citations
1
Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 11, P. 100900 - 100900
Published: Aug. 30, 2024
Language: Английский
Citations
1
AIMS Mathematics, Journal Year: 2023, Volume and Issue: 8(12), P. 29604 - 29627
Published: Jan. 1, 2023
<abstract><p>Nipah virus (NiV) is a zoonotic that causes outbreaks of fatal disease in humans. Fruit bat, also known as the flying fox, animal host reservoir for NiV. It to cause illness pigs, which are considered an intermediate host. In this paper, we propose model NiV transmission taking into account all human-to-host well loss immunity those who have recovered. Furthermore, take consideration seasonal effects such varying rate from bats and birth bats. We studied existence uniqueness disease-free $ \omega $-periodic solution later deals with basic reproduction number stability analysis. To support analytical results provide numerical examples assess effect parameter changes on dynamics, might help understand how avoid yearly periodic recurrence disease.</p></abstract>
Language: Английский
Citations
2
Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown
Published: Nov. 20, 2024
Language: Английский
Citations
0