In this paper,we establish and study a single-species logistic model with impulsive age-selective harvesting.First,we prove the ultimate boundedness of the solutions of the system.Then,we obtain conditions for the asy...In this paper,we establish and study a single-species logistic model with impulsive age-selective harvesting.First,we prove the ultimate boundedness of the solutions of the system.Then,we obtain conditions for the asymptotic stability of the trivial solution and the positive periodic solution.Finally,numerical simulations are presented to validate our results.Our results show that age-selective harvesting is more conducive to sustainable population survival than non-age-selective harvesting.展开更多
According to the characteristics of mpox transmission,we establish a class of S1S2EIQR mpox infectious disease models with individual consciousness influence,and obtain the basic reproduction number of the model by us...According to the characteristics of mpox transmission,we establish a class of S1S2EIQR mpox infectious disease models with individual consciousness influence,and obtain the basic reproduction number of the model by using the next generation matrix method.The existence of the endemic equilibrium is demonstrated,and the global asymptotic stability of the disease-free equilibrium is obtained when R0≤1.When R0>1,the disease-free equilibrium is unstable and the endemic equilibrium is globally asymptotically stable.The data of mpox cases from Beijing are collected to simulating the epidemic trends of mpox in the next few months.The results show that increasing the isolation ratio of infected patients,increasing the cure rate of infected patients,and increasing the rate of unconscious to conscious transfer could reduce the cumulative number of mpox infections.展开更多
We investigate a class of non-integrable two-particle Calogero-Moser systems modulated by a power-law external potential.The local well-posedness of the Cauchy problem is established under the strict initial separatio...We investigate a class of non-integrable two-particle Calogero-Moser systems modulated by a power-law external potential.The local well-posedness of the Cauchy problem is established under the strict initial separation condition for the particles.For suitably prepared initial configurations,local solutions can be extended globally via energy conservation;conversely,negative energy conditions induce(in)finite-time blowup.The linear(in)stability of stationary solutions is analyzed,with their energy serving as a threshold.Numerical investigations employ a fourth-order Runge-Kutta scheme with adaptive step-size control.Simulations demonstrate that the trajectories either converge to steady states or exhibit blowup,depending on the power exponent α and initial conditions.Increasingαaccelerates the convergence rate and dampens oscillatory dynamics,promoting a transition from periodic behavior to static equilibrium.展开更多
基金Supported by the National Natural Science Foundation of China(12261018)Universities Key Laboratory of Mathematical Modeling and Data Mining in Guizhou Province(2023013)。
文摘In this paper,we establish and study a single-species logistic model with impulsive age-selective harvesting.First,we prove the ultimate boundedness of the solutions of the system.Then,we obtain conditions for the asymptotic stability of the trivial solution and the positive periodic solution.Finally,numerical simulations are presented to validate our results.Our results show that age-selective harvesting is more conducive to sustainable population survival than non-age-selective harvesting.
基金National Science Basic Research Plan in Shaanxi Province of China(Grant No.2025JCYBMS-004).
文摘According to the characteristics of mpox transmission,we establish a class of S1S2EIQR mpox infectious disease models with individual consciousness influence,and obtain the basic reproduction number of the model by using the next generation matrix method.The existence of the endemic equilibrium is demonstrated,and the global asymptotic stability of the disease-free equilibrium is obtained when R0≤1.When R0>1,the disease-free equilibrium is unstable and the endemic equilibrium is globally asymptotically stable.The data of mpox cases from Beijing are collected to simulating the epidemic trends of mpox in the next few months.The results show that increasing the isolation ratio of infected patients,increasing the cure rate of infected patients,and increasing the rate of unconscious to conscious transfer could reduce the cumulative number of mpox infections.
基金Supported by National Natural Science Foundation of China(12201118)Guangdong Basic and Applied Basic Research Foundation(2023A1515010706)。
文摘We investigate a class of non-integrable two-particle Calogero-Moser systems modulated by a power-law external potential.The local well-posedness of the Cauchy problem is established under the strict initial separation condition for the particles.For suitably prepared initial configurations,local solutions can be extended globally via energy conservation;conversely,negative energy conditions induce(in)finite-time blowup.The linear(in)stability of stationary solutions is analyzed,with their energy serving as a threshold.Numerical investigations employ a fourth-order Runge-Kutta scheme with adaptive step-size control.Simulations demonstrate that the trajectories either converge to steady states or exhibit blowup,depending on the power exponent α and initial conditions.Increasingαaccelerates the convergence rate and dampens oscillatory dynamics,promoting a transition from periodic behavior to static equilibrium.
