Evidence of chaos in eco-epidemic models.

نویسندگان

  • Dirk Stiefs
  • Ezio Venturino
  • Ulrike Feudel
چکیده

We study an eco-epidemic model with two trophic levels in which the dynamics are determined by predator-prey interactions as well as the vulnerability of the predator to a disease. Using the concept of generalized models we show that for certain classes of eco-epidemic models quasiperiodic and chaotic dynamics are generic and likely to occur. This result is based on the existence of bifurcations of higher codimension such as double Hopf bifurcations. We illustrate the emergence of chaotic behavior with one example system.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Investigating Chaos in Tehran Stock Exchange Index

Modeling and analysis of future prices has been hot topic for economic analysts in recent years. Traditionally, the complex movements in the prices are usually taken as random or stochastic process. However, they may be produced by a deterministic nonlinear process. Accuracy and efficiency of economic models in the short period forecasting is strategic and crucial for business world. Nonlinear ...

متن کامل

Dynamics of an eco-epidemic model with stage structure for predator

The predator-prey model with stage structure for predator is generalized in the context of ecoepidemiology, where the prey population is infected by a microparasite and the predator completely avoids consuming the infected prey. The intraspecific competition of infected prey is considered. All the equilibria are characterized and the existence of a Hopf bifurcation at the coexistence equilibriu...

متن کامل

Existence of periodic orbits for periodic eco-epidemic models with disease in the prey

Abstract. For an eco-epidemic model with disease in the prey and periodic coefficients it is conjectured in [Xingge Niu, Tailei Zhang, Zhidong Teng, The asymptotic behavior of a nonautonomous eco-epidemic model with disease in the prey, Applied Mathematical Modelling 35, 457-470 (2011)] that, when the infected prey is permanent, there is a positive periodic orbit that is globally asymptotically...

متن کامل

A review on West African Ebola epidemic dynamics models

Background and aims: The world is threatened by disease outbreak that reaches a public health emergency of international concern, studies to inform public and agencies for effective containment strategy are necessary. Several studies provided vital information of the dynamics and control of Ebola epidemic outbreak in West Africa. Methodologies and techniques in those researches...

متن کامل

Green Digital Enterprise and Chaos Theory in Tourism Development: The Case of Eco-Tourism in South Africa

This paper examines how eco-tourism can be regarded as a change agent in the tourism economy in developing countries. By using conceptual contributions from chaos theory, the authors illustrate how eco-tourism might give competitive advantage, using South Africa as the empirical setting. Destinations focusing on chaos theory when organizing their efforts within eco-tourism may be able to tailor...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Mathematical biosciences and engineering : MBE

دوره 6 4  شماره 

صفحات  -

تاریخ انتشار 2009