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Intraguild Predation Communities with Anti-predator Behavior

F. Farivar, G. Gambino Orcid Logo, Valeria Giunta Orcid Logo, M. C. Lombardo, M. Sammartino

SIAM Journal on Applied Dynamical Systems, Volume: 24, Issue: 2, Pages: 1110 - 1149

Swansea University Author: Valeria Giunta Orcid Logo

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DOI (Published version): 10.1137/24m1632747

Abstract

Spatial heterogeneity plays a pivotal role in shaping the dynamics of ecosystems, with ecologists recognizing its importance in promoting the stability of population dynamics. In this study, we introduce a cross-diffusion model to describe the dynamics of an intraguild predation community. The model...

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Published in: SIAM Journal on Applied Dynamical Systems
ISSN: 1536-0040
Published: Society for Industrial & Applied Mathematics (SIAM) 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa69375
first_indexed 2025-04-30T15:19:52Z
last_indexed 2025-07-25T11:41:33Z
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spelling 2025-07-23T12:09:36.8660380 v2 69375 2025-04-30 Intraguild Predation Communities with Anti-predator Behavior 50456cce4b2c7be66f8302d418963b0c 0000-0003-1156-7136 Valeria Giunta Valeria Giunta true false 2025-04-30 MACS Spatial heterogeneity plays a pivotal role in shaping the dynamics of ecosystems, with ecologists recognizing its importance in promoting the stability of population dynamics. In this study, we introduce a cross-diffusion model to describe the dynamics of an intraguild predation community. The model considers intraguild prey exhibiting anti-predator behavior, dispersing along local gradients in predator density, while the Lotka–Volterra functional form describes the local dynamics. Our primary focus is on understanding the mechanisms driving species coexistence. Beginning with an overview of existing results concerning the existence and stability of the steady state of homogeneous coexistence, we rigorously construct the Hopf bifurcation curve that separates oscillations from stationary coexistence in the local system. In addition, we demonstrate that the local dynamics support the bistability of the spatially homogeneous equilibrium with oscillations due to a subcritical Hopf bifurcation. We prove that the predator avoidance strategy described by cross-diffusion is crucial for pattern formation in the reaction-diffusion system and characterizes the cross-diffusion-driven Turing bifurcation. Using the formalism of amplitude equations, we derive the asymptotic profiles of the stationary solutions, revealing that anti-predator behavior can account for segregation patterns between IntraGuild Prey and IntraGuild Predator observed in field studies. Through a combination of analytical and numerical tools, we demonstrate that the predator avoidance strategy serves as a mechanism that stabilizes coexistence states in intraguild predation communities beyond the conditions imposed by the corresponding spatially homogeneous model. Journal Article SIAM Journal on Applied Dynamical Systems 24 2 1110 1149 Society for Industrial & Applied Mathematics (SIAM) 1536-0040 cross-diffusion; avoidance behavior; Hopf bifurcation; bistability; Turing bifurcation; pattern formation; ecological niches 30 6 2025 2025-06-30 10.1137/24m1632747 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University 2025-07-23T12:09:36.8660380 2025-04-30T15:57:21.7018083 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics F. Farivar 1 G. Gambino 0000-0001-7532-3478 2 Valeria Giunta 0000-0003-1156-7136 3 M. C. Lombardo 4 M. Sammartino 5
title Intraguild Predation Communities with Anti-predator Behavior
spellingShingle Intraguild Predation Communities with Anti-predator Behavior
Valeria Giunta
title_short Intraguild Predation Communities with Anti-predator Behavior
title_full Intraguild Predation Communities with Anti-predator Behavior
title_fullStr Intraguild Predation Communities with Anti-predator Behavior
title_full_unstemmed Intraguild Predation Communities with Anti-predator Behavior
title_sort Intraguild Predation Communities with Anti-predator Behavior
author_id_str_mv 50456cce4b2c7be66f8302d418963b0c
author_id_fullname_str_mv 50456cce4b2c7be66f8302d418963b0c_***_Valeria Giunta
author Valeria Giunta
author2 F. Farivar
G. Gambino
Valeria Giunta
M. C. Lombardo
M. Sammartino
format Journal article
container_title SIAM Journal on Applied Dynamical Systems
container_volume 24
container_issue 2
container_start_page 1110
publishDate 2025
institution Swansea University
issn 1536-0040
doi_str_mv 10.1137/24m1632747
publisher Society for Industrial & Applied Mathematics (SIAM)
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
active_str 0
description Spatial heterogeneity plays a pivotal role in shaping the dynamics of ecosystems, with ecologists recognizing its importance in promoting the stability of population dynamics. In this study, we introduce a cross-diffusion model to describe the dynamics of an intraguild predation community. The model considers intraguild prey exhibiting anti-predator behavior, dispersing along local gradients in predator density, while the Lotka–Volterra functional form describes the local dynamics. Our primary focus is on understanding the mechanisms driving species coexistence. Beginning with an overview of existing results concerning the existence and stability of the steady state of homogeneous coexistence, we rigorously construct the Hopf bifurcation curve that separates oscillations from stationary coexistence in the local system. In addition, we demonstrate that the local dynamics support the bistability of the spatially homogeneous equilibrium with oscillations due to a subcritical Hopf bifurcation. We prove that the predator avoidance strategy described by cross-diffusion is crucial for pattern formation in the reaction-diffusion system and characterizes the cross-diffusion-driven Turing bifurcation. Using the formalism of amplitude equations, we derive the asymptotic profiles of the stationary solutions, revealing that anti-predator behavior can account for segregation patterns between IntraGuild Prey and IntraGuild Predator observed in field studies. Through a combination of analytical and numerical tools, we demonstrate that the predator avoidance strategy serves as a mechanism that stabilizes coexistence states in intraguild predation communities beyond the conditions imposed by the corresponding spatially homogeneous model.
published_date 2025-06-30T05:31:25Z
_version_ 1859885975164944384
score 11.100246

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