International Journal of Modern Nonlinear Theory and Application

Journal Information
ISSN / EISSN : 21679479 / 21679487
Current Publisher: Scientific Research Publishing, Inc, (10.4236)
Total articles ≅ 151
Archived in
SHERPA/ROMEO
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Latest articles in this journal

Guoguang Lin, Changqing Zhu
International Journal of Modern Nonlinear Theory and Application, Volume 8, pp 41-52; doi:10.4236/ijmnta.2019.82003

Mengwei Li, Yuanfu Shao, Yafei Yang
International Journal of Modern Nonlinear Theory and Application, Volume 8, pp 93-105; doi:10.4236/ijmnta.2019.84007

Abstract:This paper is concerned with a stochastic predator-prey system with Beddington-DeAngelis functional response and time delay. Firstly, we show that this system has a unique positive solution as this is essential in any population dynamics model. Secondly, the validity of the stochastic system is guaranteed by stochastic ultimate boundedness of the analyzed solution. Finally, by constructing suitable Lyapunov functions, the asymptotic moment estimation of the solution was given. These properties of the solution can provide theoretical support for biological resource management.
Mohammad Sharif Ullah, Golam Mostafa, Nusrat Jahan, Abdul Hakim Khan
International Journal of Modern Nonlinear Theory and Application, Volume 8, pp 53-61; doi:10.4236/ijmnta.2019.83004

Abstract:Bangladesh is a densely populated country than many other countries of the world. The population growth is termed as alarming, however, knowledge of growth in the years to come would be useful in planning for the development of the country. This article is based on the projection of future population growth of the country. The available actual population census data during 1991-2011 of Bangladesh was applied to the application of a non-linear, non-autonomous ordinary differential equation familiar as Verhulst logistic population model with the maximum environmental capability of Bangladesh. Bangladesh will reach its carrying capacity of 245.09 million population in the next 56 years i.e. the year 2067 and then it decreases as S-shaped curve. The article has provided a focus on the changing trends of the growth of the population of Bangladesh.
Mio Kobayashi, Tetsuya Yoshinaga
International Journal of Modern Nonlinear Theory and Application, Volume 8, pp 1-16; doi:10.4236/ijmnta.2019.81001

Ömür Umut, Serpil Yaşar
International Journal of Modern Nonlinear Theory and Application, Volume 8, pp 17-39; doi:10.4236/ijmnta.2019.81002

Abstract:We employ the Duan-Rach-Wazwaz modified Adomian decomposition method for solving initial value problems for the systems of nonlinear ordinary differential equations numerically. In order to confirm practicality, robustness and reliability of the method, we compare the results from the modified Adomian decomposition method with those from the MATHEMATICA solutions and also from the fourth-order Runge Kutta method solutions in some cases. Furthermore, we apply Padé approximants technique to improve the solutions of the modified decomposition method whenever the exact solutions exist.
Naser Waheeb Alnaser, Waheeb Essa Alnaser
International Journal of Modern Nonlinear Theory and Application, Volume 8, pp 72-91; doi:10.4236/ijmnta.2019.83006

Wenbing Wu
International Journal of Modern Nonlinear Theory and Application, Volume 8, pp 62-71; doi:10.4236/ijmnta.2019.83005

Guoguang Lin, Lingjuan Hu
International Journal of Modern Nonlinear Theory and Application, Volume 7, pp 35-47; doi:10.4236/ijmnta.2018.72003

Wenbing Wu, Jinquan Xiong, Yupeng Wu, Rihua Liu
International Journal of Modern Nonlinear Theory and Application, Volume 7, pp 77-87; doi:10.4236/ijmnta.2018.72006

Jaouad Kharbach, Walid Chatar, Mohamed Benkhali, Abdellah Rezzouk, Mohammed Ouazzani-Jamil
International Journal of Modern Nonlinear Theory and Application, Volume 7, pp 56-76; doi:10.4236/ijmnta.2018.72005