Results 61 to 70 of about 170,441 (221)
, 2004 A parametrized nonlinear differential equation can have multiple equilibria as the parameter is varied. A local bifurcation of a parametrized differential equation occurs at an equilibrium where there is a change in the topological character of the ...
Chang, Dong Eui +2 more
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Dynamic analysis of a modified algae and fish model with aggregation and Allee effect
Mathematical Biosciences and Engineering, 2022 In the paper, under the stress of aggregation and reproduction mechanism of algae, we proposed a modified algae and fish model with aggregation and Allee effect, its main purpose was to further ascertain the dynamic relationship between algae and fish ...
Shengyu Huang +5 more
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A food chain ecoepidemic model: infection at the bottom trophic level [PDF]
, 2014 In this paper we consider a three level food web subject to a disease affecting the bottom prey. The resulting dynamics is much richer with respect to the purely demographic model, in that it contains more transcritical bifurcations, gluing together the ...
De Rossi, Alessandra +4 more
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The Operating Diagram for a Two-Step Anaerobic Digestion Model
, 2020 The Anaerobic Digestion Model No. 1 (ADM1) is a complex model which is widely accepted as a common platform for anaerobic process modeling and simulation. However, it has a large number of parameters and states that hinder its analytical study.
Benyahia, Boumediene, Sari, Tewfik
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Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
Discrete Dynamics in Nature and Society, 2013 The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos.
Junhong Li, Ning Cui
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Mathematics, 2022 Recently, bistable viral infection systems have attracted increased attention. In this paper, we study bistability and robustness for virus infection models with nonmonotonic immune responses in viral infection systems. The results show that the existing
Tengfei Wang, Shaoli Wang, Fei Xu
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Ground-state Properties of Small-Size Nonlinear Dynamical Lattices [PDF]
, 2006 We investigate the ground state of a system of interacting particles in small nonlinear lattices with M > 2 sites, using as a prototypical example the discrete nonlinear Schroedinger equation that has been recently used extensively in the contexts of ...
A. Vezzani +6 more
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Mathematical analysis of a fractional-order epidemic model with nonlinear incidence function
AIMS Mathematics, 2022 In this paper, we are interested in studying the spread of infectious disease using a fractional-order model with Caputo's fractional derivative operator.
Salih Djillali +3 more
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Network Inoculation: Heteroclinics and phase transitions in an epidemic model [PDF]
, 2016 In epidemiological modelling, dynamics on networks, and in particular adaptive and heterogeneous networks have recently received much interest. Here we present a detailed analysis of a previously proposed model that combines heterogeneity in the ...
Anderson R. M. +7 more
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NLS Bifurcations on the bowtie combinatorial graph and the dumbbell metric graph
, 2018 We consider the bifurcations of standing wave solutions to the nonlinear Schr\"odinger equation (NLS) posed on a quantum graph consisting of two loops connected by a single edge, the so-called dumbbell, recently studied by Marzuola and Pelinovsky.
Goodman, Roy H.
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