Journal•ISSN: 1793-7159
International Journal of Biomathematics
World Scientific
About: International Journal of Biomathematics is an academic journal published by World Scientific. The journal publishes majorly in the area(s): Population & Epidemic model. It has an ISSN identifier of 1793-7159. Over the lifetime, 1170 publications have been published receiving 8256 citations.
Papers
More filters
TL;DR: A compartment model to discuss the influence of media coverage to the spreading and controlling of infectious disease in a given region shows that the disease-free equilibrium is globally asymptotically stable, but if ℝ0 > 1, it is shown that a unique endemic equilibrium appears, which is asymptonically stable.
Abstract: In this paper, we give a compartment model to discuss the influence of media coverage to the spreading and controlling of infectious disease in a given region. The model exhibits two equilibria: a disease-free and a unique endemic equilibrium. Stability analysis of the models shows that the disease-free equilibrium is globally asymptotically stable if the reproduction number (ℝ0), which depends on parameters, is less than unity. But if ℝ0 > 1, it is shown that a unique endemic equilibrium appears, which is asymptotically stable. On a special case, the endemic equilibrium is globally stable. We discuss the role of media coverage on the spreading based on the theory results.
165 citations
Abstract: In this paper, we analyze the dynamical behavior of fish farm model related to Atangana–Baleanu derivative of arbitrary order. The model is constituted with the group of nonlinear differential equa...
95 citations
TL;DR: By combining Lyapunov function method with differential inequality approach, non-reduced order method is used to establish some novel assertions on the existence and generalized exponential stability of periodic solutions for the addressed model.
Abstract: This paper, mainly explores a class of non-autonomous inertial neural networks with proportional delays and time-varying coefficients. By combining Lyapunov function method with differential inequa...
90 citations
TL;DR: In this paper, a delayed stage-structured variable coefficients predator-prey system with impulsive perturbations on predators is considered and sufficient conditions for the global attractivity of the periodic solution of the investigated system are obtained.
Abstract: In this work, we consider a delayed stage-structured variable coefficients predator-prey system with impulsive perturbations on predators. By using the discrete dynamical system determined by stroboscopic map and the standard comparison theorem, we obtain the sufficient conditions which guarantee the global attractivity of prey-extinction periodic solution of the investigated system. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactic basis for the practical pest management.
73 citations
TL;DR: In this article, a robust impulsive Lotka-Volterra n-species competitive system with both discrete delays and continuous delays was formulated, and the conditions for the permanence and globally asymptotical stability of the system depend on time delays.
Abstract: In this paper, we formulate a robust impulsive Lotka–Volterra n-species competitive system with both discrete delays and continuous delays. Our results in this paper indicate that under the appropriate linear bounded impulsive perturbations, the impulsive delay Lotka–Volterra system remains the original permanence and globally asymptotical stability of the nonimpulsive delay Lotka–Volterra system. We show that the conditions for the permanence and globally asymptotical stability of the system depend on time delays, so, we call it "profitless".
66 citations