Varying Capacity and Harvesting in a Prey-Predator System with Memory Effect

Ercan Balcı

Makale detayları

Varying Capacity and Harvesting in a Prey-Predator System with Memory Effect

Yazarlar:

Ercan Balcı

Yayıncı:

Çanakkale Onsekiz Mart University

Ana Başlıklar:

Biological Mathematics

Dergi:

Journal of Advanced Research in Natural and Applied Sciences Vol.11 Issue 1, pp.12-26

Belge Tipi:

Makale

Yayın Tarihi:

3/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001344659

pISSN:

2757-5195

Anahtar kelimeler:

Özet:

 This paper investigates a fractional-order prey-predator model with varying prey-carrying capacity and the inclusion of harvesting in both populations. The model uses fractional derivatives to include memory effects, aiming to capture ecological dynamics better. Moreover, it considers how prey can alter its carrying capacity by modifying the environment. The stability and Hopf bifurcation analyses are used to study population cycles and equilibrium states. Numerical simulations reveal key biological insights, emphasizing the need for sustainable harvesting and the influence of past interactions on ecosystem balance.

 This paper investigates a fractional-order prey-predator model with varying prey-carrying capacity and the inclusion of harvesting in both populations. The model uses fractional derivatives to include memory effects, aiming to capture ecological dynamics better. Moreover, it considers how prey can alter its carrying capacity by modifying the environment. The stability and Hopf bifurcation analyses are used to study population cycles and equilibrium states. Numerical simulations reveal key biological insights, emphasizing the need for sustainable harvesting and the influence of past interactions on ecosystem balance.

 This paper investigates a fractional-order prey-predator model with varying prey-carrying capacity and the inclusion of harvesting in both populations. The model uses fractional derivatives to include memory effects, aiming to capture ecological dynamics better. Moreover, it considers how prey can alter its carrying capacity by modifying the environment. The stability and Hopf bifurcation analyses are used to study population cycles and equilibrium states. Numerical simulations reveal key biological insights, emphasizing the need for sustainable harvesting and the influence of past interactions on ecosystem balance.

 This paper investigates a fractional-order prey-predator model with varying prey-carrying capacity and the inclusion of harvesting in both populations. The model uses fractional derivatives to include memory effects, aiming to capture ecological dynamics better. Moreover, it considers how prey can alter its carrying capacity by modifying the environment. The stability and Hopf bifurcation analyses are used to study population cycles and equilibrium states. Numerical simulations reveal key biological insights, emphasizing the need for sustainable harvesting and the influence of past interactions on ecosystem balance.

Makale detayları

Varying Capacity and Harvesting in a Prey-Predator System with Memory Effect

Yazarlar:

Ercan Balcı

Yayıncı:

Çanakkale Onsekiz Mart University

Ana Başlıklar:

Biological Mathematics

Dergi:

Journal of Advanced Research in Natural and Applied Sciences Vol.11 Issue 1, pp.12-26

Belge Tipi:

Makale

Yayın Tarihi:

3/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001344659

pISSN:

2757-5195

Prey-predator

varying carrying capacity

Caputo fractional derivative

harvesting

Sayı

Makale detayları

Varying Capacity and Harvesting in a Prey-Predator System with Memory Effect

Yazarlar: Ercan Balcı

Yayıncı: Çanakkale Onsekiz Mart University

Ana Başlıklar: Biological Mathematics

Dergi: Journal of Advanced Research in Natural and Applied Sciences Vol.11 Issue 1, pp.12-26

Belge Tipi: Makale

Yayın Tarihi: 3/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001344659

pISSN: 2757-5195

Prey-predator

varying carrying capacity

Caputo fractional derivative

harvesting

Sayı

Yazarlar:

Ercan Balcı

Yayıncı:

Çanakkale Onsekiz Mart University

Ana Başlıklar:

Biological Mathematics

Dergi:

Journal of Advanced Research in Natural and Applied Sciences Vol.11 Issue 1, pp.12-26

Belge Tipi:

Makale

Yayın Tarihi:

3/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001344659

pISSN:

2757-5195