Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources

Shi, Ruiqing; Li, Yang; Wang, Cuihong

doi:10.3390/fractalfract7060430

Fractal Fract

2023

DOI: 10.3390/fractalfract7060430

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Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources

Ruiqing Shi

Yang Li

Cuihong Wang

Abstract: In this paper, a fractional-order model for African swine fever with limited medical resources is proposed and analyzed. First, the existence and uniqueness of a positive solution is proven. Second, the basic reproduction number and the conditions sufficient for the existence of two equilibriums are obtained. Third, the local stability of the two equilibriums is studied. Next, some numerical simulations are performed to verify the theoretical results. The mathematical and simulation results show that the value… Show more

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2024

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Cited by 4 publications

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Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

Suganya,

Parthiban,

Shangerganesh

et al. 2024

Sci Rep

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Understanding the dynamics of the African swine fever virus during periods of intense replication is critical for effective combatting of the rapid spread. In our research, we have developed a fractional-order SVEIR model using the Caputo derivatives to investigate this behaviour. We have established the existence and uniqueness of the solution through fixed point theory and determined the basic reproduction number using the next-generation matrix method. Our study also involves an examination of the local and global stability of disease-free equilibrium points. Additionally, we have conducted optimal control analysis with two control variables to increase the number of recovered pigs while reducing the number of those infected and exposed. We have supported our findings with numerical simulations to demonstrate the effectiveness of the control strategy.

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Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

Suganya,

Parthiban,

Shangerganesh

et al. 2024

Sci Rep

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Stability Analysis of a Fractional-Order African Swine Fever Model with Saturation Incidence

Shi,

Zhang

2024

Animals

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This article proposes and analyzes a fractional-order African Swine Fever model with saturation incidence. Firstly, the existence and uniqueness of a positive solution is proven. Secondly, the basic reproduction number and the sufficient conditions for the existence of two equilibriums are obtained. Thirdly, the local and global stability of disease-free equilibrium is studied using the LaSalle invariance principle. Next, some numerical simulations are conducted based on the Adams-type predictor–corrector method to verify the theoretical results, and sensitivity analysis is performed on some parameters. Finally, discussions and conclusions are presented. The theoretical results show that the value of the fractional derivative α will affect both the coordinates of the equilibriums and the speed at which the equilibriums move towards stabilization. When the value of α becomes larger or smaller, the stability of the equilibriums will be changed, which shows the difference between the fractional-order systems and the classical integer-order system.

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The Reproduction Number of Swine Viral Respiratory Diseases: A Systematic Review

Pittman Ratterree,

Chitlapilly Dass,

Ndeffo-Mbah

2024

Veterinary Sciences

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Diseases in the swine industry can cause significant economic and health impacts. This review examines R0 estimates for respiratory diseases in pigs, assessing variations and comparing transmission risks within and between farms. A literature search of three databases aggregated peer-reviewed research articles on swine viral respiratory diseases’ R0 values. The study focused on seven diseases: Aujeszky’s disease (AD), Porcine Reproductive and Respiratory Syndrome Virus (PRRSV), Circovirus, Influenza A (IA), Encephalomyocarditis Virus (EV), Classical Swine Fever (CSF), and African Swine Fever (ASF). R0 values were estimated for transmission within and between herds/farms using various methods, from complex mathematical models to simple calculations. Data primarily came from disease surveillance and laboratory experiments. The median R0 for within-herd and between-herd transmission was 10 and 3.31 for AD, 2.78 and 1.14 for PRRSV, 5.9 and 0.89 for Circovirus, 1.75 and 1.6 for CSF, and 3.94 and 3.15 for ASF. For IA and EV, only within-herd R0 values were estimated at 8.65 and 1.3, respectively. Diseases with high R0 values highlight the need for prompt detection and response to outbreaks. Continuous monitoring and evaluation of pathogen transmissibility are crucial for enhancing disease surveillance and reducing the impact of livestock diseases.

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Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources

Cited by 4 publications

References 31 publications

Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

Stability Analysis of a Fractional-Order African Swine Fever Model with Saturation Incidence

The Reproduction Number of Swine Viral Respiratory Diseases: A Systematic Review

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