Research ArticleOpen accessEvery word in the titleBifurcation and Controlling Chaos in a Discrete-Time Biological SystemGuo FengThe dynamics of a discrete-time food chain model with strong pressure on preys is investigated. The types of equilibria of the system are analyzed using stability theory and bifurcation theory. The route to chaos via Neimark-Sacker bifurcation followed by period-doubling bifurcations of invariant curves is found for some parameter values through numerical simulation. Moreover, the chaos is controlled on the … …American Journal of Biochemistry and Biotechnology, Vol. 16, Issue 3 · 7 Jul 2020 · 6,681 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBifurcation and Stability Analysis of a Food Web in a ChemostatS.M. Sohel RanaIn this study, a classical model describing a food web in a chemostat involving three species competing for non-reproducing, growth rate-limiting nutrient in which one of the competitors predates on one of the other competitors is considered. Quantitative analyses of non-negativity and boundedness of solution trajectories, dissipativity, behavior around equilibria, global stability and persistence of the model equations are analyzed. … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 22 Oct 2016 · 7,081 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBIFURCATION ANALYSIS OF EQUILIBRIUM POINT IN TWO NODE POWER SYSTEMHalima Aloui, Faouzi Bacha, Moncef GasmiThis study presents a study of bifurcation in a dynamic power system model. It becomes one of the major precautions for electricity suppliers and these systems must maintain a steady state in the neighborhood of the operating points. We study in this study the dynamic stability of two node power systems theory and the stability of limit cycles emerging from … …American Journal of Applied Sciences, Vol. 11, Issue 4 · 29 Jan 2014 · 7,055 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Stability and Bifurcation of Solutions of Nonlinear System of Differential Equations for AIDS DiseaseS. A.A. El-MaroufProblem statement: This study aims to discuss the stability and bifurcation of a system of ordinary differential equations expressing a general nonlinear model of HIV/AIDS which has great interests from scientists and researchers on mathematics, biology, medicine and education. The existance of equilibrium points and their local stability are studied for HIV/AIDS model with two forms of the incidence rates. … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 24 Apr 2012 · 7,018 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleWall Shear Stress Distribution in Patient Specific Coronary Artery BifurcationVahab Dehlaghi, Frank GijsenProblem statement: Atherogenesis is affected by hemodynamic parameters, such as wall shear stress and wall shear stress spatial gradient. These parameters are largely dependent on the geometry of arterial tree. Arterial bifurcations contain significant flow disturbances. Approach: The effects of branch angle and vessel diameter ratio at the bifurcations on the wall shear stress distribution in the coronary arterial tree … …American Journal of Applied Sciences, Vol. 7, Issue 9 · 30 Sep 2010 · 7,365 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTowards Some General Ecological PrinciplesArild WikanDiscrete deterministic age-structured, stage-structured and difference delay equation population models are analysed and compared with respect to stability and nonstationary behaviour. All three models show that species with iteroparous life histories tend to be more stable than species with semelparous life histories which allow us to conclude that this must be a fairly general ecological principle. Considering iteroparity, the precocious … …Journal of Mathematics and Statistics, Vol. 8, Issue 4 · 3 Jan 2013 · 6,929 accessesView PDFCite
Research ArticleOpen accessIn the keywordsGlobal Analysis of an Epidemic Model with Non-Linear Incidence RateS. A.A. El-Marouf, S. M. AlihabyProblem statement: In this study the equilibrium points and their local stability are found for SIQ and SIQR epidemic models with three forms of the incidence rates. Also, we study the global stability of the equilibrium by constructing the new forms of Liapounov functions. Conclusion/Recommendations: We explored the existence of Hopf bifurcation for some parameters in the given model. …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,274 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the Dynamics of a General Predator-Prey SystemM. M.A. El-Sheikh, S. A.A. El-Marouf, Z. M. AlaofyProblem statement: In this study a general two dimensional predator-prey model is considered. The dynamic and existence of equilibrium points are studied. Conclusion/Recommendations: Hopf bifurcation is discussed. The existence and uniqueness of limit cycles is proved. Special cases are considered to justify our results. …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,322 accessesView PDFCite
Research ArticleOpen accessIn the keywordsApplication of Theories of Complexity and Chaos to Economic MisgovernancePartha Gangopadhyay, Nasser Elkanj, Mustafa A. RahmanProblem statement: In this study we develop a comprehensive model involving local taxes, intergovernmental transfers and bureaucratic corruption to characterize a fiscal equilibrium in order to explain the provision of local (public) expenditure in developing nations. The main goal of the research is to explain economic misgovernance as an equilibrium phenomenon, which is therefore expected to persist over time despite … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 27 Jul 2011 · 7,375 accessesView PDFCite