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Decomposition of the Jacobian of some twists of genus 2 curve
No full texthttp://dx.doi.org/10.1017/S000497271200033
The impacts of mortality rate and strong Allee effect in a three-species food chain model with Crowley–Martin functional responseodel with Crowley-Martin functional response
No full textIn ecology, a strong Allee effect is closely associated with population sustainability to extinction. To address this topic, we propose and investigate the intricate features of a three-species food chain model subjected to Crowley–Martin functional response and a strong Allee effect in prey. Here, our focus is to examine how the mortality rate of the middle predator can influence the species interactions. Numerical simulations and stability analysis are utilised to demonstrate the dynamics of the proposed model. The stability analysis is performed using linearization methods on each equilibrium point. Using Sotomayor’s theorem, the occurrence of transcritical bifurcations are investigated. Through bifurcation analysis, we observe bi-stability as well as Hopf and transcritical bifurcations. We observe that all species maintain their viability at medium mortality rates, whereas extinction occurs at low mortality rates.
References
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C. Mukherjee, K. P. Das, and G. Panigrahi. Dynamics of insect predator and mosquito prey system with mutual interference as a factor for the co-occurrence: Validating through models. J. Appl. Math. 1.3, 246 (2023). doi: 10.59400/jam.v1i3.246
S. Pal, P. K. Tiwari, A. K. Misra, and H. Wang. Fear effect in a three-species food chain model with generalist predator. Math. Biosci. Eng. 21.1 (2023), pp. 1–33. doi: 10.3934/mbe.2024001
L. Perko. Differential Equations and Dynamical Systems. Texts in Applied Mathematics. Springer New York, 2008. doi: 10.1007/978-1-4613-0003-8
T. Perälä, J. A. Hutchings, and A. Kuparinen. Allee effects and the Allee-effect zone in northwest Atlantic cod. Biol. Lett. 18, 20210439 (2022). doi: 10.1098/rsbl.2021.0439
S. Saha and G. Samanta. Modelling of a two prey and one predator system with switching effect. Comput. Math. Biophys. 9.1 (2021), pp. 90–113. doi: 10.1515/cmb-2020-0120
Sajan, A. Kumar, and B. Dubey. Stability switching in a cooperative prey-predator model with transcritical and Hopf-bifurcations. Nonlinear Dynamics and Applications, Springer Proceedings in Complexity. Ed. by S. Banerjee and A. Saha. 2022, pp. 987–1000. doi: 10.1007/978-3-030-99792-2_84
B. P. Sarangi and S. N. Raw. Dynamics of a spatially explicit eco-epidemic model with double Allee effect. Math. Comput. Sim. 206 (2023), pp. 241–263. doi: 10.1016/j.matcom.2022.11.004
N. Sk, B. Mondal, A. A. Thirthar, M. A. Alqudah, and T. Abdeljawad. Bistability and tristability in a deterministic prey-predator model: Transitions and emergent patterns in its stochastic counterpart. Chaos Soliton. Fract. 176 (2023), p. 114073. doi: 10.1016/j.chaos.2023.114073
B. E. Smith and L. A. Smith. Multispecies functional responses reveal reduced predation at high prey densities and varied responses among and within trophic groups. Fish Fish. 21.5 (2020), pp. 891–905. doi: 10.1111/faf.12468
J. Ye, Y. Wang, Z. Jin, C. Dai, and M. Zhao. Dynamics of a predator-prey model with strong Allee effect and nonconstant mortality rate. Math. Biosci. Eng. 19.4 (2022), pp. 3402–3426. doi: 10.3934/mbe.202215
Far-Field sensitivity to local boundary perturbations in 2D wave scattering
No full textWe numerically investigate the sensitivity of the scattered wave field to perturbations in the shape of a 2D sound-soft scattering body illuminated by an incident plane wave. This study is motivated by recent work on the inverse problem of reconstructing a scatterer shape from measurements of the scattered wave at large distances from the scatterer. For this purpose we consider star-shaped scatterers represented using cubic splines, and our approach is based on a Nyström method-based discretisation of the shape derivative. Using singular value decomposition, we identify fundamental geometric modes that most strongly influence the scattered wave, providing insight into the most visible boundary features in scattering data.
References
C. Borges and M. Rachh. Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization. Adv. Comput. Math. 48, 2 (2022). doi: 10.1007/s10444-021-09915-1
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M. Ganesh and S. C. Hawkins. Algorithm 975: TMATROM—a T-matrix reduced order model software. ACM Trans. Math. Softw. (TOMS) 44.1 (2017), pp. 1–18. doi: 10.1145/3054945
M. Ganesh, S. C. Hawkins, N. Kordzakhia, and S. Unicomb. An efficient Bayesian neural network surrogate algorithm for shape detection. Proceedings of the 19th Biennial Computational Techniques and Applications Conference, CTAC-2020. Ed. by W. McLean, S. Macnamara, and J. Bunder. Vol. 62. ANZIAM J. 2022, pp. C112–C127. doi: 10.21914/anziamj.v62.16110
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Z. Yang, X. Gui, J. Ming, and G. Hu. Bayesian approach to inverse time-harmonic acoustic obstacle scattering with phaseless data generated by point source waves. Comput. Meth. Appl. Mech. Eng. 386, 114073 (2021). doi: 10.1016/j.cma.2021.11407
Elementary proofs of the diameter bounds for power graphs
No full texthttp://dx.doi.org/10.1017/S000497271200033
Forbidden partition configuration spaces of graphs
No full texthttp://dx.doi.org/10.1017/S000497271200033
Variable selection in multivariate data by analysis of data pattern
No full texthttp://dx.doi.org/10.1017/S000497271200033
Inequalities and uniform asymptotic formulae for spt-crank of partitions
No full texthttp://dx.doi.org/10.1017/S000497271200033
New congruences for the truncated Appell series
No full text http://dx.doi.org/10.1017/S000497271200033