Abstract and Applied Analysis

Advanced Nonlinear Dynamics of Population Biology and Epidemiology


Publishing date
13 Jun 2014
Status
Published
Submission deadline
24 Jan 2014

Lead Editor

1Institute of Applied Mathematics, Wenzhou University, Wenzhou 325035, China

2Science and Mathematics Faculty, School of Letters and Sciences, Arizona State University, Mesa, AZ 85212, USA

3Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

4School of Biomedical Engineering, Third Military Medical University, Chongqing 400038, China


Advanced Nonlinear Dynamics of Population Biology and Epidemiology

Description

Modern biology and epidemiology have become more and more driven by the need for mathematical models and theory to elucidate general phenomena arising from the complexity of interactions on the numerous spatial, temporal, and hierarchical scales at which biological systems operate and diseases spread. Epidemic modeling and studies of disease spread such as gonorrhea, HIV/AIDS, BSE, foot and mouth disease, measles, and rubella have had an impact on public health policies around the world which includes the United Kingdom, The Netherlands, Canada, and the United States. A wide variety of modeling approaches are involved to build up suitable models. Ordinary differential equation models, partial differential equation models, delay differential equation models, stochastic differential equation models, difference equation models, and nonautonomous models are examples of modeling approaches that are useful and are capable of providing applicable strategies for the coexistence and conservation of species in danger, to prevent the overexploitation of natural resources, to control diseases’ outbreak, to make optimal dosing polices for the drug administration, etc.

This special issue is concerned with the nonlinear dynamic modeling and related analysis for interacting populations and important epidemic diseases. We aim to provide a platform for the discussion of the major research challenges, appropriate methodologies, and recent achievements in the said directions. Appropriate mathematical models with new insights, relevant analysis of models, and validation with the help of numerical simulations are most welcome. Potential topics include, but are not limited to:

  • Nonlinear dynamic models of species interactions
  • Nonlinear dynamic models of epidemic models
  • Global bifurcation analysis
  • Spatiotemporal pattern formation
  • Stochastic differential equation models
  • Delay differential equation models
  • Nonautonomous models
  • Difference equation models
  • Models for the spread of epidemics
  • Control of epidemic diseases
  • Biological invasion
  • Numerical methods in nonlinear dynamics

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/nody/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 812867
  • - Research Article

Multiple Positive Periodic Solutions for Functional Differential Equations with Impulses and a Parameter

Zhenguo Luo
  • Special Issue
  • - Volume 2014
  • - Article ID 685468
  • - Research Article

Comparison of Three Measures to Promote National Fitness in China by Mathematical Modeling

Pan Tang | Daqing Xu | ... | Tingting Huang
  • Special Issue
  • - Volume 2014
  • - Article ID 831573
  • - Research Article

Dynamics of a Stochastic Functional System for Wastewater Treatment

Xuehui Ji | Sanling Yuan
  • Special Issue
  • - Volume 2014
  • - Article ID 149801
  • - Research Article

Pattern Formation in a Bacterial Colony Model

Xinze Lian | Guichen Lu | Hailing Wang
  • Special Issue
  • - Volume 2014
  • - Article ID 841367
  • - Research Article

Threshold Dynamics of a Huanglongbing Model with Logistic Growth in Periodic Environments

Jianping Wang | Shujing Gao | ... | Dehui Xie
  • Special Issue
  • - Volume 2014
  • - Article ID 963072
  • - Research Article

Geometric Analysis of an Integrated Pest Management Model Including Two State Impulses

Wencai Zhao | Yulin Liu | ... | Xinzhu Meng
  • Special Issue
  • - Volume 2014
  • - Article ID 576365
  • - Research Article

Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis

Kai Wang | Xueliang Zhang | ... | Liping Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 249623
  • - Research Article

Global Behaviors of a Class of Discrete SIRS Epidemic Models with Nonlinear Incidence Rate

Lei Wang | Zhidong Teng | Long Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 172380
  • - Research Article

Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator

Xiaolin Fan | Zhidong Teng | Haijun Jiang
  • Special Issue
  • - Volume 2014
  • - Article ID 610959
  • - Research Article

The Stability of SI Epidemic Model in Complex Networks with Stochastic Perturbation

Jinqing Zhao | Maoxing Liu | ... | Panzu Yang
Abstract and Applied Analysis
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Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.200
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