Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state
In this paper, a fuzzy delay predator-prey (FDPP) system is proposed by adopting fuzzy parameter in a delay predator-prey (DPP) system. The steady state and linear stability of FDPP system are determined and analyzed. Here, we show that the trivial steady state is unstable for all value of delays. M...
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Online Access: | http://eprints.utm.my/id/eprint/51085/ https://www.researchgate.net/publication/251876683_Fuzzy_Delay_Differential_Equation_in_Predator-Prey_Interaction_Analysis_on_Stability_of_Steady_State |
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my.utm.510852017-09-17T06:51:51Z http://eprints.utm.my/id/eprint/51085/ Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state Maan, Normah Barzinji, K. Aris, N. Q Science In this paper, a fuzzy delay predator-prey (FDPP) system is proposed by adopting fuzzy parameter in a delay predator-prey (DPP) system. The steady state and linear stability of FDPP system are determined and analyzed. Here, we show that the trivial steady state is unstable for all value of delays. Mean while the semi trivial steady state is locally asymptotically stable for all values of delays under certain conditions. We prove that the steady state are fuzzy numbers. Several examples are considered to show the results. 2013 Conference or Workshop Item PeerReviewed Maan, Normah and Barzinji, K. and Aris, N. (2013) Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state. In: Lecture Notes In Engineering And Computer Science. https://www.researchgate.net/publication/251876683_Fuzzy_Delay_Differential_Equation_in_Predator-Prey_Interaction_Analysis_on_Stability_of_Steady_State |
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Q Science Maan, Normah Barzinji, K. Aris, N. Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state |
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In this paper, a fuzzy delay predator-prey (FDPP) system is proposed by adopting fuzzy parameter in a delay predator-prey (DPP) system. The steady state and linear stability of FDPP system are determined and analyzed. Here, we show that the trivial steady state is unstable for all value of delays. Mean while the semi trivial steady state is locally asymptotically stable for all values of delays under certain conditions. We prove that the steady state are fuzzy numbers. Several examples are considered to show the results. |
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Conference or Workshop Item |
author |
Maan, Normah Barzinji, K. Aris, N. |
author_facet |
Maan, Normah Barzinji, K. Aris, N. |
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Maan, Normah |
title |
Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state |
title_short |
Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state |
title_full |
Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state |
title_fullStr |
Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state |
title_full_unstemmed |
Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state |
title_sort |
fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state |
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2013 |
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http://eprints.utm.my/id/eprint/51085/ https://www.researchgate.net/publication/251876683_Fuzzy_Delay_Differential_Equation_in_Predator-Prey_Interaction_Analysis_on_Stability_of_Steady_State |
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13.201949 |