The Experts below are selected from a list of 46059 Experts worldwide ranked by ideXlab platform
Juan Liu - One of the best experts on this subject based on the ideXlab platform.
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Hopf bifurcation analysis for an SIRS epidemic model with Logistic Growth and delays
Journal of Applied Mathematics and Computing, 2015Co-Authors: Juan LiuAbstract:A delayed SIRS epidemic model with Logistic Growth is investigated in this paper. The main results are given in terms of local stability and Hopf bifurcation. Sufficient conditions for local stability of the positive equilibrium and existence of the local Hopf bifurcation are obtained by regarding the possible combination of the two delays as a bifurcation parameter and analyzing distribution of roots of the corresponding characteristic equations. Particularly, the direction and stability of the local Hopf bifurcation are determined by using the normal form theory and center manifold theorem. Finally, some numerical simulations are provided in order to illustrate the theoretical results.
Sanling Yuan - One of the best experts on this subject based on the ideXlab platform.
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Bifurcation analysis for a regulated Logistic Growth model
Applied Mathematical Modelling, 2007Co-Authors: Yongli Song, Sanling YuanAbstract:In this paper, we consider a regulated Logistic Growth model. We first consider the linear stability and the existence of a Hopf bifurcation. We show that Hopf bifurcations occur as the delay τ passes through critical values. Then, using the normal form theory and center manifold reduction, we derive the explicit algorithm determining the direction of Hopf bifurcations and the stability of the bifurcating periodic solutions. Finally, numerical simulation results are given to support the theoretical predictions.
Pierre Nguimkeu - One of the best experts on this subject based on the ideXlab platform.
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A simple selection test between the Gompertz and Logistic Growth models
Technological Forecasting and Social Change, 2014Co-Authors: Pierre NguimkeuAbstract:This paper proposes a simple model selection test between the Gompertz and the Logistic Growth models based on parameter significance testing in a comprehensive linear regression. Simulations studies are provided to show the accuracy of the method. Two real-data examples are also provided to illustrate the implementation of the proposed method in practice.
Mingxin Wang - One of the best experts on this subject based on the ideXlab platform.
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On the minimal Keller–Segel system with Logistic Growth
Nonlinear Analysis: Real World Applications, 2020Co-Authors: Aung Zaw Myint, Jianping Wang, Mingxin WangAbstract:Abstract This paper applies a delicate method which is inspired by Deuring (1987) and is different from those of Winkler (2010) and Yang et al. (2015) to show the known conclusion: The weak chemotactic effect can ensure the global existence and boundedness of the solutions of the minimal Keller–Segel model with Logistic Growth in any dimensional cases. Moreover, we obtain the explicit uniform-in-time upper bound for the global solution. It is noted that the method used in the paper may be employed to study other chemotaxis systems.
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Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and Logistic Growth
Journal of Mathematical Physics, 2019Co-Authors: Jianping Wang, Mingxin WangAbstract:This paper concerns a higher-dimensional Keller-Segel model with signal-dependent motility and Logistic Growth. It is shown that the strong Logistic damping can prevent blow-up in the higher dimensions.This paper concerns a higher-dimensional Keller-Segel model with signal-dependent motility and Logistic Growth. It is shown that the strong Logistic damping can prevent blow-up in the higher dimensions.
Nadav M. Shnerb - One of the best experts on this subject based on the ideXlab platform.
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Nonlocal competition and Logistic Growth: patterns, defects, and fronts.
Physical review. E Statistical nonlinear and soft matter physics, 2006Co-Authors: Yosef E Maruvka, Nadav M. ShnerbAbstract:Logistic Growth of diffusing reactants on spatial domains with long-range competition is studied. The bifurcations cascade involved in the transition from the homogeneous state to a spatially modulated stable solution is presented, and a distinction is made between a modulated phase, dominated by single or few wave numbers, and the spiky phase, where localized colonies are separated by depleted region. The characteristic defects in the periodic structure are presented for each phase, together with the invasion dynamics in the case of local initiation. It is shown that the basic length scale that controls the bifurcation is the width of the Fisher front, and that the total population grows as this width decreases. A mix of analytic results and extensive numerical simulations yields a comprehensive examination of the possible phases for Logistic Growth in the presence of nonlocal competition.
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Pattern formation and nonlocal Logistic Growth.
Physical Review E, 2004Co-Authors: Nadav M. ShnerbAbstract:Logistic Growth process with nonlocal interactions is considered in one dimension. Spontaneous breakdown of translational invariance is shown to take place at some parameter region, and the bifurcation regime is identified for short and long-range interactions. Domain walls between regions of different order parameter are expressed as soliton solutions of the reduced dynamics for nearest-neighbor interactions. The analytic results are confirmed by numerical simulations.
