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SETSCI - Volume 3 (2018)
ISAS2018-Winter - 2nd International Symposium on Innovative Approaches in Scientific Studies, Samsun, Turkey, Nov 30, 2018

Mathematical Model on the Temporal and Spatial Structure for Predator-Prey System (ISAS2018-Winter_170)
Yadigar Şekerci Fırat1*
1Amasya University, Amasya, Turkey
* Corresponding author: yadigar.firat@amasya.edu.tr
Published Date: 2019-01-14   |   Page (s): 896-898   |    10     3

ABSTRACT In this talk, we work on a model of the prey-predator system to see the effect of system components on species
distribution for both temporal and spatial structure. In some cases, changing environmental conditions results in extinction or
leads the survival of species. So in this work, the prey-predator system is studied numerically to detail the species sustainability
with the assist of gradient addition on systems` parameter. The model consists of two coupled diffusion equations. Extensive
numerical simulations on ODE (Ordinary differential equation) and PDE (Partial Differential Equations) are investigated to
understand the underlying structure of system response for changing surrounding environmental conditions effect with the assist
of system parameters. Obtained results show that the sustainability of species depends on the choice of parameters  
KEYWORDS Prey-predator system; temporal distribution; spatial distribution; mathematical modelling; simulation
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