Three-species dynamics eco-cognitive instantaneous response modulation in a predator-prey system
International Journal of Optimization and Control: Theories and Applications, cilt.16, sa.4, ss.1421-1441, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 4
- Basım Tarihi: 2026
- Doi Numarası: 10.36922/ijocta026210085
- Dergi Adı: International Journal of Optimization and Control: Theories and Applications
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Sayfa Sayıları: ss.1421-1441
- Anahtar Kelimeler: Behavioral ecology, Eco-cognitive response, Hopf bifurcation, Lyapunov exponent, Nonlinear dynamics, Sensitivity analysis
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
This paper presents a new three-species predator–prey model with an eco-cognitive response for instantaneous trophic interactions. Unlike older models which base predator efficiency on factors such as encounter rates or handling time, this framework incorporates cognitive influence. Predator performance here is affected by their perception of immediate prey density—that is, how well predators recognize, pursue, and outsmart their prey. The system includes a prey population growing logistically, a middle predator guided by the cognition-based model, and a top predator preying on the middle one. It maintains biological realism while adding feedback between the number of prey and predator cognition in real-time. The analysis covers positiviy and boundedness, existence and local stability of equilibria, persistence and extinction thresholds, Hopf bifurcation, oscillatory coexistence and sensitivity analysis. Numerical continuation, bifurcation diagrams and phase portraits show complex dynamics like stable coexistence, wide swings, multistability, and transient chaos.