Abundant and accurate computational wave structures of the nonlinear fractional biological population model

MMA Khater - International Journal of Modern Physics B, 2023 - World Scientific
In this paper, the generalized exponential (GExp) method has been employed to construct
novel solitary wave solutions of the nonlinear fractional biological population (FBP) model …

[HTML][HTML] On beta-time fractional biological population model with abundant solitary wave structures

KS Nisar, A Ciancio, KK Ali, MS Osman… - Alexandria Engineering …, 2022 - Elsevier
The ongoing study deals with various forms of solutions for the biological population model
with a novel beta-time derivative operators. This model is very conducive to explain the …

[HTML][HTML] Harvested predator–prey models considering marine reserve areas: Systematic literature review

A Hasibuan, AK Supriatna, E Rusyaman, MHA Biswas - Sustainability, 2023 - mdpi.com
The United Nations has predicted the growth of the human population to reach 8.405 billion
by mid-2023, which is a 70% increase in global food demand. This growth will significantly …

[HTML][HTML] A prey-refuge harvesting model using intuitionistic fuzzy sets

A Acharya, A Mahata, N Sil, S Mahato… - Decision Analytics …, 2023 - Elsevier
This study considers the classical Lotka–Volterra model for a prey–predator system with
harvesting effort and catchability coefficients for both species incorporating a new prey …

Spatially inhomogeneous bifurcating periodic solutions induced by nonlocal competition in a predator–prey system with additional food

R Yang, F Wang, D ** - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
The nonlocal competition in prey is incorporated into a diffusive predator–prey model with
additional food in predator and time delay. The local stability of the coexisting equilibrium is …

Spatiotemporal behavior in a predator–prey model with herd behavior and cross-diffusion and fear effect

F Souna, S Djilali, A Lakmeche - The European Physical Journal Plus, 2021 - Springer
In this manuscript, we investigate the fear effect on the spatiotemporal behavior of the
predator–prey model with prey social behavior and cross-diffusive. Our main interest is to …

Bifurcation analysis of an age‐structured prey–predator model with infection developed in prey

S Bentout, S Djilali, A Atangana - Mathematical Methods in the …, 2022 - Wiley Online Library
In this work, we propose an age‐structured prey–predator model with infection developed in
the prey population. Our main goal is to distinguish the effect of the predator maturation …

[HTML][HTML] Theoretical and numerical analysis of fractal fractional model of tumor-immune interaction with two different kernels

S Ahmad, A Ullah, A Akgül, D Baleanu - Alexandria Engineering Journal, 2022 - Elsevier
Fractal fractional operators in Caputo and Caputo-Fabrizio sense are being used in this
manuscript to explore the interaction between the immune system and cancer cells. The …

A design of predictive computational network for the analysis of fractional epidemical predictor-prey model

M Shoaib, AZ Abbasi, MAZ Raja, KS Nisar - Chaos, Solitons & Fractals, 2022 - Elsevier
Studying the dynamical system that represents the transmission of an outbreak from prey to
predatory is crucial and significant because the results may be used to highlight a variety of …

Global analysis of a time fractional order spatio-temporal SIR model

MR Sidi Ammi, M Tahiri, M Tilioua, A Zeb, I Khan… - Scientific Reports, 2022 - nature.com
We deal in this paper with a diffusive SIR epidemic model described by reaction–diffusion
equations involving a fractional derivative. The existence and uniqueness of the solution are …