A reaction-diffusion equations modelling the effect of fluctuating water levels on prey-predator interactions
作者： Ali Moussaoui
DOI: 10.1016/J.AMC.2015.07.018
关键词:
摘要: Prey-predator interactions are influenced by many ecological factors. In this paper, a prey-predator model with spatial diffusion under homogeneous Neumann boundary conditions is investigated to study the impact of water level on persistence two fish populations living in an artificial lake. We obtain some important qualitative properties, including existence global positive solution, dissipation and permanence system. The unique globally stable periodic solution also presented. Some numerical examples presented verify our results.
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Odo Diekmann, Richard Durrett, Karl Peter Hadeler, Philip K Maini, Hal Smith, HL Smith, Dynamics of competition Lecture Notes in Mathematics. pp. 191- 240 ,(1999) , 10.1007/BFB0092378
C. V. Pao, Nonlinear Parabolic and Elliptic Equations ,(1993)
Lili Chang, Gui-Quan Sun, Zhen Wang, Zhen Jin, Rich dynamics in a spatial predator-prey model with delay Applied Mathematics and Computation. ,vol. 256, pp. 540- 550 ,(2015) , 10.1016/J.AMC.2015.01.052
N. Chiboub Fellah, S.M. Bouguima, A. Moussaoui, The effect of water level in a prey-predator interactions: A nonlinear analysis study Chaos, Solitons & Fractals. ,vol. 45, pp. 205- 212 ,(2012) , 10.1016/J.CHAOS.2011.12.002
Gui-Quan Sun, Juan Zhang, Li-Peng Song, Zhen Jin, Bai-Lian Li, Pattern formation of a spatial predator–prey system Applied Mathematics and Computation. ,vol. 218, pp. 11151- 11162 ,(2012) , 10.1016/J.AMC.2012.04.071
Ali Moussaoui, Siham Bassaid, EL Hadi Ait Dads, The impact of water level fluctuations on a delayed prey–predator model Nonlinear Analysis-real World Applications. ,vol. 21, pp. 170- 184 ,(2015) , 10.1016/J.NONRWA.2014.07.011
Xiuxiang Liu, Lihong Huang, Permanence and periodic solutions for a diffusive ratio-dependent predator–prey system Applied Mathematical Modelling. ,vol. 33, pp. 683- 691 ,(2009) , 10.1016/J.APM.2007.12.002
A. Moussaoui, S.M. Bouguima, A prey–predator interaction under fluctuating level water Mathematical Methods in The Applied Sciences. ,vol. 38, pp. 123- 137 ,(2015) , 10.1002/MMA.3055
Chris Cosner, Robert Stephen Cantrell, Spatial Ecology via Reaction-Diffusion Equations ,(2003)
Xianning Liu, Lansun Chen, Global dynamics of the periodic logistic system with periodic impulsive perturbations Journal of Mathematical Analysis and Applications. ,vol. 289, pp. 279- 291 ,(2004) , 10.1016/J.JMAA.2003.09.058