Document Type : Original Paper
Authors
1 Department of Mathematical Sciences, University of Kashan, Kashan, Iran, 87317-53153
2 Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111
Abstract
Highlights
Adams R. A., Sobolev spaces, Pure and Applied Mathematics, Vol. 65. Academic Press, New York, London, 197
. Adams R.A. and Fournier J.J.F., Sobolev spaces, London: Academic Press, 200
Ajraldi V. and Venturino E., Mimicking spatial effects in predator-prey models with group defense, Proceedings of the 2009 International Conference on Computational and Mathematical Methods in Science and Engineering, 1 (2009) 57-67.
Ajraldi V., Pittavino M. and Venturino E., Modeling Herd behavior in population systems, Nonlin. Anal. Real World App., 12 (2011) 2319-2338.
Boudjema I. and Djilali S., Turing-Hopf bifurcation in Gauss-type model with cross diffusion and its application, Nonlinear Stud., 25 (2018) 665-687.
Braza P.A., Predator-prey dynamics with square root functional responses, Nonlin. Anal. Real World. Appl., 13 (2012) 1837-1843.
Cosner C., DeAngelis D.L., Ault J.S. and Olson D.B., Effects of spatial grouping on the functional response of predators, Theoretical, Population Biology, 56 (1999) 65-75.
Djilali S., Herd behavior in a predator-prey model with spatial diffusion: bifurcation analysis and Turing instability, J. Appl. Math. Comput., 58 (2018) 125-149
Djilali S., Impact of prey herd shape on the predator-prey interaction, Chaos, Solitons and Fractals, 120 (2019) 139-148
Haragus M. and Iooss G., Local Bifurcations, Center Manifolds, and Normal Forms in InfiniteDimensional Dynamical Systems, Universitext, Springer London, 2011.
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