Cronin, James T.; Goddard, Jerome II; Muthunayake, Amila; Quiroa, Juan; Shivaji, Ratnasingham Predator-induced prey dispersal can cause hump-shaped density-area relationships in prey populations. (English) Zbl 07806700 J. Math. Biol. 88, No. 2, Paper No. 20, 31 p. (2024). Reviewer: A. C. D. van Enter (Groningen) MSC: 92D40 35K57 PDFBibTeX XMLCite \textit{J. T. Cronin} et al., J. Math. Biol. 88, No. 2, Paper No. 20, 31 p. (2024; Zbl 07806700) Full Text: DOI
Acharya, Ananta; Fonseka, Nalin; Goddard, Jerome II; Henderson, Alketa; Shivaji, Ratnasingham On the effects of density-dependent emigration on ecological models with logistic and weak Allee type growth terms. (English) Zbl 07805439 Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1501-1524 (2024). MSC: 35J61 35J25 92D25 PDFBibTeX XMLCite \textit{A. Acharya} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1501--1524 (2024; Zbl 07805439) Full Text: DOI
Acharya, A.; Bandyopadhyay, S.; Cronin, J. T.; Goddard, J. II; Muthunayake, A.; Shivaji, R. The diffusive Lotka-Volterra competition model in fragmented patches. I: Coexistence. (English) Zbl 1505.92146 Nonlinear Anal., Real World Appl. 70, Article ID 103775, 38 p. (2023). MSC: 92D25 92D40 35K57 35P10 35B35 PDFBibTeX XMLCite \textit{A. Acharya} et al., Nonlinear Anal., Real World Appl. 70, Article ID 103775, 38 p. (2023; Zbl 1505.92146) Full Text: DOI
Goddard, Jerome; Shivaji, Ratnasingham; Cronin, James T. Ecological release and patch geometry can cause nonlinear density-area relationships. (English) Zbl 1503.92081 J. Theor. Biol. 557, Article ID 111325, 14 p. (2023). MSC: 92D40 92D25 34B15 34B18 PDFBibTeX XMLCite \textit{J. Goddard} et al., J. Theor. Biol. 557, Article ID 111325, 14 p. (2023; Zbl 1503.92081) Full Text: DOI
Acharya, Ananta; Shivaji, R.; Fonseka, Nalin \( \Sigma \)-shaped bifurcation curves for classes of elliptic systems. (English) Zbl 1497.35182 Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 2795-2806 (2022). MSC: 35J57 35J61 35B32 PDFBibTeX XMLCite \textit{A. Acharya} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 2795--2806 (2022; Zbl 1497.35182) Full Text: DOI
Son, Byungjae; Wang, Peiyong Positive radial solutions to classes of \(p\)-Laplacian systems on the exterior of a ball with nonlinear boundary conditions. (English) Zbl 1487.34080 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112540, 19 p. (2022). Reviewer: Xueyan Liu (New Orleans) MSC: 34B18 34B16 34B09 35J66 35J92 47N20 PDFBibTeX XMLCite \textit{B. Son} and \textit{P. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112540, 19 p. (2022; Zbl 1487.34080) Full Text: DOI
Acharya, A.; Fonseka, N.; Shivaji, R. Analysis of reaction-diffusion systems where a parameter influences both the reaction terms as well as the boundary. (English) Zbl 1489.35060 Bound. Value Probl. 2021, Paper No. 15, 8 p. (2021). MSC: 35J47 35J61 35K57 35J25 35A01 PDFBibTeX XMLCite \textit{A. Acharya} et al., Bound. Value Probl. 2021, Paper No. 15, 8 p. (2021; Zbl 1489.35060) Full Text: DOI
Fonseka, Nalin; Muthunayake, Amila; Shivaji, Ratnasingham; Son, Byungjae Singular reaction diffusion equations where a parameter influences the reaction term and the boundary conditions. (English) Zbl 1487.34062 Topol. Methods Nonlinear Anal. 57, No. 1, 221-242 (2021). Reviewer: Alberto Cabada (Santiago de Compostela) MSC: 34B08 34B15 34B16 34B18 34B27 PDFBibTeX XMLCite \textit{N. Fonseka} et al., Topol. Methods Nonlinear Anal. 57, No. 1, 221--242 (2021; Zbl 1487.34062) Full Text: DOI
Fonseka, Nalin; Goddard II., Jerome; Shivaji, Ratnasingham; Son, Byungjae A diffusive weak Allee effect model with U-shaped emigration and matrix hostility. (English) Zbl 1467.35178 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5509-5517 (2021). MSC: 35J91 35J25 92D25 35B09 35A01 PDFBibTeX XMLCite \textit{N. Fonseka} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5509--5517 (2021; Zbl 1467.35178) Full Text: DOI
Cronin, James T.; Goddard, Jerome II; Muthunayake, Amila; Shivaji, Ratnasingham Modeling the effects of trait-mediated dispersal on coexistence of mutualists. (English) Zbl 1471.92378 Math. Biosci. Eng. 17, No. 6, 7838-7861 (2020). MSC: 92D40 92D25 35Q92 PDFBibTeX XMLCite \textit{J. T. Cronin} et al., Math. Biosci. Eng. 17, No. 6, 7838--7861 (2020; Zbl 1471.92378) Full Text: DOI
Cronin, James T.; Fonseka, Nalin; Goddard II, Jerome; Leonard, Jackson; Shivaji, Ratnasingham Modeling the effects of density dependent emigration, weak Allee effects, and matrix hostility on patch-level population persistence. (English) Zbl 1470.92235 Math. Biosci. Eng. 17, No. 2, 1718-1742 (2020). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{J. T. Cronin} et al., Math. Biosci. Eng. 17, No. 2, 1718--1742 (2020; Zbl 1470.92235) Full Text: DOI
Son, Byungjae; Wang, Peiyong Analysis of positive radial solutions for singular superlinear \(p\)-Laplacian systems on the exterior of a ball. (English) Zbl 1436.35209 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111657, 15 p. (2020). MSC: 35J92 35J58 35J75 35A01 PDFBibTeX XMLCite \textit{B. Son} and \textit{P. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111657, 15 p. (2020; Zbl 1436.35209) Full Text: DOI
Morris, Quinn; Nash, Jessica; Payne, Catherine Analysis of steady states for classes of reaction-diffusion equations with hump-shaped density-dependent dispersal on the boundary. (English) Zbl 1440.34021 Involve 13, No. 1, 9-19 (2020). MSC: 34B09 34B18 34C60 92D25 34B08 PDFBibTeX XMLCite \textit{Q. Morris} et al., Involve 13, No. 1, 9--19 (2020; Zbl 1440.34021) Full Text: DOI
Goddard, Jerome II; Morris, Quinn; Payne, Catherine; Shivaji, Ratnasingham A diffusive logistic equation with U-shaped density dependent dispersal on the boundary. (English) Zbl 1418.35113 Topol. Methods Nonlinear Anal. 53, No. 1, 335-349 (2019). MSC: 35J25 35J66 92D25 PDFBibTeX XMLCite \textit{J. Goddard II} et al., Topol. Methods Nonlinear Anal. 53, No. 1, 335--349 (2019; Zbl 1418.35113) Full Text: DOI Euclid
Goddard, Jerome II; Morris, Quinn A.; Robinson, Stephen B.; Shivaji, Ratnasingham An exact bifurcation diagram for a reaction-diffusion equation arising in population dynamics. (English) Zbl 1499.35299 Bound. Value Probl. 2018, Paper No. 170, 17 p. (2018). MSC: 35J91 35B32 35B35 35J25 PDFBibTeX XMLCite \textit{J. Goddard II} et al., Bound. Value Probl. 2018, Paper No. 170, 17 p. (2018; Zbl 1499.35299) Full Text: DOI