Disease transmission dynamics of an epidemiological predator-prey system in open advective environments
نویسندگان
چکیده
<p style='text-indent:20px;'>This paper delves into the dynamics of a spatial eco-epidemiological system with disease spread within predator population in open advective environments. The disease-free subsystem is first discussed, and net reproductive rate <inline-formula><tex-math id="M1">\begin{document}$ R_P $\end{document}</tex-math></inline-formula> established to determine whether can invade successfully. impacts advection on id="M2">\begin{document}$ are also discussed. Then for scenario successful invasion predator, sufficient conditions prevalence local stability attractor obtained by dint persistence theory comparison theorem. Finally, we present special numerical example, which basic reproduction ratio id="M3">\begin{document}$ R_0 absence or presence periodic perturbation. Our theoretical results both indicate that an intermediate interval favor coexistence prey healthy as well eradication disease.</p>
منابع مشابه
Transmission Dynamics of Resistant Bacteria in a Predator-Prey System
This paper discusses the impact on human health caused by the addition of antibiotics in the feed of food animals. We use the established transmission rule of resistant bacteria and combine it with a predator-prey system to determine a differential equations model. The equations have three steady equilibrium points corresponding to three population dynamics states under the influence of resista...
متن کاملPrey-Predator System; Having Stable Periodic Orbit
The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.
متن کاملDynamics in a Discrete Prey-Predator System
The stability analysis around equilibrium of a discrete-time predator prey system is considered in this paper. We obtain local stability conditions of the system near equilibrium points. The phase portraits are obtained for different sets of parameter values. Also limit cycles and bifurcation diagrams are provided for selective range of growth parameter. It is observed that prey and predator po...
متن کاملEffects of a disease affecting a predator on the dynamics of a predator-prey system.
We study the effects of a disease affecting a predator on the dynamics of a predator-prey system. We couple an SIRS model applied to the predator population, to a Lotka-Volterra model. The SIRS model describes the spread of the disease in a predator population subdivided into susceptible, infected and removed individuals. The Lotka-Volterra model describes the predator-prey interactions. We con...
متن کاملChemotactic predator-prey dynamics.
A discrete chemotactic predator-prey model is proposed in which the prey secrets a diffusing chemical which is sensed by the predator and vice versa. Two dynamical states corresponding to catching and escaping are identified and it is shown that steady hunting is unstable. For the escape process, the predator-prey distance is diffusive for short times but exhibits a transient subdiffusive behav...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B
سال: 2023
ISSN: ['1531-3492', '1553-524X']
DOI: https://doi.org/10.3934/dcdsb.2022131