Xu, Mengrui; Liu, Shuang; Lou, Yuan Persistence and extinction in the anti-symmetric Lotka-Volterra systems. (English) Zbl 07806930 J. Differ. Equations 387, 299-323 (2024). MSC: 92D25 90C05 PDFBibTeX XMLCite \textit{M. Xu} et al., J. Differ. Equations 387, 299--323 (2024; Zbl 07806930) Full Text: DOI
Gao, Daozhou; Cao, Linlin Vector-borne disease models with Lagrangian approach. (English) Zbl 07806701 J. Math. Biol. 88, No. 2, Paper No. 22, 57 p. (2024). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{D. Gao} and \textit{L. Cao}, J. Math. Biol. 88, No. 2, Paper No. 22, 57 p. (2024; Zbl 07806701) Full Text: DOI
Liu, Weiwei; Liu, Jie; Chen, Shanshan Dynamics of Lotka-Volterra competition patch models in streams with two branches. (English) Zbl 07795543 Bull. Math. Biol. 86, No. 2, Paper No. 14, 47 p. (2024). MSC: 92D40 92D25 34C12 34D23 37C65 PDFBibTeX XMLCite \textit{W. Liu} et al., Bull. Math. Biol. 86, No. 2, Paper No. 14, 47 p. (2024; Zbl 07795543) Full Text: DOI
Lam, King-Yeung; Lou, Yuan The principal Floquet bundle and the dynamics of fast diffusing communities. (English) Zbl 07785441 Trans. Am. Math. Soc. 377, No. 1, 1-29 (2024). MSC: 35Q92 92D25 92D40 35K57 35B40 76R50 PDFBibTeX XMLCite \textit{K.-Y. Lam} and \textit{Y. Lou}, Trans. Am. Math. Soc. 377, No. 1, 1--29 (2024; Zbl 07785441) Full Text: DOI
Nguyen, Tung D.; Wu, Yixiang; Veprauskas, Amy; Tang, Tingting; Zhou, Ying; Beckford, Charlotte; Chau, Brian; Chen, Xiaoyun; Rouhani, Behzad Djafari; Wu, Yuerong; Yang, Yang; Shuai, Zhisheng Maximizing metapopulation growth rate and biomass in stream networks. (English) Zbl 07780082 SIAM J. Appl. Math. 83, No. 6, 2145-2168 (2023). MSC: 92D25 92D40 34C11 PDFBibTeX XMLCite \textit{T. D. Nguyen} et al., SIAM J. Appl. Math. 83, No. 6, 2145--2168 (2023; Zbl 07780082) Full Text: DOI arXiv
Razzhevaikin, V. N. Stability indicators of nonnegative matrices: parametric and sparse cases. (English. Russian original) Zbl 1527.15033 Comput. Math. Math. Phys. 63, No. 7, 1155-1165 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1061-1072 (2023). MSC: 15A99 05C50 92D30 PDFBibTeX XMLCite \textit{V. N. Razzhevaikin}, Comput. Math. Math. Phys. 63, No. 7, 1155--1165 (2023; Zbl 1527.15033); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1061--1072 (2023) Full Text: DOI
Grumbach, Carolin; Reurik, Femke N.; Segura, Juan; Franco, Daniel; Hilker, Frank M. The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models. (English) Zbl 1522.92048 J. Math. Biol. 87, No. 4, Paper No. 60, 35 p. (2023). MSC: 92D25 37N25 39A60 PDFBibTeX XMLCite \textit{C. Grumbach} et al., J. Math. Biol. 87, No. 4, Paper No. 60, 35 p. (2023; Zbl 1522.92048) Full Text: DOI OA License
Chen, Shanshan; Liu, Jie; Wu, Yixiang On the impact of spatial heterogeneity and drift rate in a three-patch two-species Lotka-Volterra competition model over a stream. (English) Zbl 1519.92187 Z. Angew. Math. Phys. 74, No. 3, Paper No. 117, 32 p. (2023). MSC: 92D25 92D40 34C12 34D20 37C65 PDFBibTeX XMLCite \textit{S. Chen} et al., Z. Angew. Math. Phys. 74, No. 3, Paper No. 117, 32 p. (2023; Zbl 1519.92187) Full Text: DOI arXiv
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang Evolution of dispersal in advective patchy environments. (English) Zbl 1510.92157 J. Nonlinear Sci. 33, No. 3, Paper No. 40, 35 p. (2023). MSC: 92D25 92D40 34C12 34D23 37C65 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Nonlinear Sci. 33, No. 3, Paper No. 40, 35 p. (2023; Zbl 1510.92157) Full Text: DOI arXiv
Villar-Sepúlveda, Edgardo; Champneys, Alan R. General conditions for Turing and wave instabilities in reaction-diffusion systems. (English) Zbl 1509.35133 J. Math. Biol. 86, No. 3, Paper No. 39, 33 p. (2023); correction ibid. 86, No. 4, Paper No. 57, 1 p. (2023). MSC: 35K57 35B32 35B35 92E20 15A18 PDFBibTeX XMLCite \textit{E. Villar-Sepúlveda} and \textit{A. R. Champneys}, J. Math. Biol. 86, No. 3, Paper No. 39, 33 p. (2023; Zbl 1509.35133) Full Text: DOI
Coll, Carmen; Herrero, Alicia; Ginestar, Damián; Sánchez, Elena The discrete fractional order difference applied to an epidemic model with indirect transmission. (English) Zbl 1525.92065 Appl. Math. Modelling 103, 636-648 (2022). MSC: 92D30 PDFBibTeX XMLCite \textit{C. Coll} et al., Appl. Math. Modelling 103, 636--648 (2022; Zbl 1525.92065) Full Text: DOI
Cantrell, Robert Stephen; Cosner, Chris; Zhou, Ying Ideal free dispersal in integrodifference models. (English) Zbl 1496.92127 J. Math. Biol. 85, No. 1, Paper No. 6, 39 p. (2022). MSC: 92D40 92D25 92D15 45J05 PDFBibTeX XMLCite \textit{R. S. Cantrell} et al., J. Math. Biol. 85, No. 1, Paper No. 6, 39 p. (2022; Zbl 1496.92127) Full Text: DOI
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang Two novel proofs of spectral monotonicity of perturbed essentially nonnegative matrices with applications in population dynamics. (English) Zbl 1497.34066 SIAM J. Appl. Math. 82, No. 2, 654-676 (2022). MSC: 34C60 92D25 92B20 34D05 15A18 34D20 PDFBibTeX XMLCite \textit{S. Chen} et al., SIAM J. Appl. Math. 82, No. 2, 654--676 (2022; Zbl 1497.34066) Full Text: DOI
Kalabušić, Senada; Pilav, Esmir Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles. (English) Zbl 1486.37052 J. Difference Equ. Appl. 28, No. 2, 259-288 (2022). MSC: 37N25 39A60 39A28 39A30 92D25 92D30 PDFBibTeX XMLCite \textit{S. Kalabušić} and \textit{E. Pilav}, J. Difference Equ. Appl. 28, No. 2, 259--288 (2022; Zbl 1486.37052) Full Text: DOI
Bravo de la Parra, Rafael; Sanz-Lorenzo, Luis Discrete epidemic models with two time scales. (English) Zbl 1494.92125 Adv. Difference Equ. 2021, Paper No. 478, 24 p. (2021). MSC: 92D30 92D25 37N25 PDFBibTeX XMLCite \textit{R. Bravo de la Parra} and \textit{L. Sanz-Lorenzo}, Adv. Difference Equ. 2021, Paper No. 478, 24 p. (2021; Zbl 1494.92125) Full Text: DOI
Thieme, Horst R. Discrete-time population dynamics of spatially distributed semelparous two-sex populations. (English) Zbl 1470.92266 J. Math. Biol. 83, No. 2, Paper No. 18, 40 p. (2021). MSC: 92D25 PDFBibTeX XMLCite \textit{H. R. Thieme}, J. Math. Biol. 83, No. 2, Paper No. 18, 40 p. (2021; Zbl 1470.92266) Full Text: DOI
Kirkland, Stephen; Shuai, Zhisheng; van den Driessche, P.; Wang, Xueying Impact of varying community networks on disease invasion. (English) Zbl 1467.92209 SIAM J. Appl. Math. 81, No. 3, 1166-1189 (2021). Reviewer: Yilun Shang (Newcastle) MSC: 92D30 15A09 15A18 PDFBibTeX XMLCite \textit{S. Kirkland} et al., SIAM J. Appl. Math. 81, No. 3, 1166--1189 (2021; Zbl 1467.92209) Full Text: DOI
Mohapatra, Anushaya; De Leenheer, Patrick The ideal free distribution and the evolution of partial migration. (English) Zbl 1470.37113 J. Difference Equ. Appl. 27, No. 3, 462-477 (2021). MSC: 37N25 92B05 92D25 PDFBibTeX XMLCite \textit{A. Mohapatra} and \textit{P. De Leenheer}, J. Difference Equ. Appl. 27, No. 3, 462--477 (2021; Zbl 1470.37113) Full Text: DOI
Cantrell, Robert Stephen; Cosner, Chris; Lam, King-Yeung Ideal free dispersal under general spatial heterogeneity and time periodicity. (English) Zbl 1468.35210 SIAM J. Appl. Math. 81, No. 3, 789-813 (2021). MSC: 35Q92 35K57 92D15 92D25 PDFBibTeX XMLCite \textit{R. S. Cantrell} et al., SIAM J. Appl. Math. 81, No. 3, 789--813 (2021; Zbl 1468.35210) Full Text: DOI arXiv
Jiang, Hongyan; Lam, King-Yeung; Lou, Yuan Are two-patch models sufficient? The evolution of dispersal and topology of river network modules. (English) Zbl 1467.34049 Bull. Math. Biol. 82, No. 10, Paper No. 131, 41 p. (2020). MSC: 34C60 34C05 34D05 34D20 92D25 PDFBibTeX XMLCite \textit{H. Jiang} et al., Bull. Math. Biol. 82, No. 10, Paper No. 131, 41 p. (2020; Zbl 1467.34049) Full Text: DOI
Coll, Carmen; Sánchez, Elena Epidemic spreading by indirect transmission in a compartmental farm. (English) Zbl 1497.92246 Appl. Math. Comput. 386, Article ID 125473, 8 p. (2020). MSC: 92D30 39A60 PDFBibTeX XMLCite \textit{C. Coll} and \textit{E. Sánchez}, Appl. Math. Comput. 386, Article ID 125473, 8 p. (2020; Zbl 1497.92246) Full Text: DOI
Prasse, Bastian; Van Mieghem, Piet Time-dependent solution of the NIMFA equations around the epidemic threshold. (English) Zbl 1457.92177 J. Math. Biol. 81, No. 6-7, 1299-1355 (2020). Reviewer: Yilun Shang (Newcastle) MSC: 92D30 34A34 PDFBibTeX XMLCite \textit{B. Prasse} and \textit{P. Van Mieghem}, J. Math. Biol. 81, No. 6--7, 1299--1355 (2020; Zbl 1457.92177) Full Text: DOI
Wang, Yuanshi; Wu, Hong; He, Yiyang; Wang, Zhihui; Hu, Kun Population abundance of two-patch competitive systems with asymmetric dispersal. (English) Zbl 1448.34102 J. Math. Biol. 81, No. 1, 315-341 (2020). MSC: 34C60 92D25 34D05 34C05 34D20 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Math. Biol. 81, No. 1, 315--341 (2020; Zbl 1448.34102) Full Text: DOI
Cushing, J. M. Equilibrium stability and the geometry of bifurcation graphs for a class of nonlinear Leslie models. (English) Zbl 1444.92081 Bohner, Martin (ed.) et al., Difference equations and discrete dynamical systems with applications. ICDEA 24, Dresden, Germany, May 21–25, 2018. Proceedings of the 24th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 312, 201-211 (2020). MSC: 92D25 34C23 PDFBibTeX XMLCite \textit{J. M. Cushing}, Springer Proc. Math. Stat. 312, 201--211 (2020; Zbl 1444.92081) Full Text: DOI
Lou, Yuan; Salako, Rachidi B. Dynamics of a parabolic-ODE competition system in heterogeneous environments. (English) Zbl 1443.92160 Proc. Am. Math. Soc. 148, No. 7, 3025-3038 (2020). MSC: 92D25 35Q92 35B40 35K57 PDFBibTeX XMLCite \textit{Y. Lou} and \textit{R. B. Salako}, Proc. Am. Math. Soc. 148, No. 7, 3025--3038 (2020; Zbl 1443.92160) Full Text: DOI arXiv
Cushing, J. M.; Farrell, Alex P. A bifurcation theorem for nonlinear matrix models of population dynamics. (English) Zbl 1437.39003 J. Difference Equ. Appl. 26, No. 1, 25-44 (2020). Reviewer: Fatima T. Adylova (Tashkent) MSC: 39A28 39A30 37G35 37N25 92D25 PDFBibTeX XMLCite \textit{J. M. Cushing} and \textit{A. P. Farrell}, J. Difference Equ. Appl. 26, No. 1, 25--44 (2020; Zbl 1437.39003) Full Text: DOI
Harrington, Peter D.; Lewis, Mark A. A next-generation approach to calculate source-sink dynamics in marine metapopulations. (English) Zbl 1432.92106 Bull. Math. Biol. 82, No. 1, Paper No. 9, 44 p. (2020). MSC: 92D40 92D25 35Q92 PDFBibTeX XMLCite \textit{P. D. Harrington} and \textit{M. A. Lewis}, Bull. Math. Biol. 82, No. 1, Paper No. 9, 44 p. (2020; Zbl 1432.92106) Full Text: DOI Link
Kon, Ryusuke Bifurcations of cycles in nonlinear semelparous Leslie matrix models. (English) Zbl 1433.37080 J. Math. Biol. 80, No. 4, 1187-1207 (2020). MSC: 37N25 39A28 39A30 92D25 PDFBibTeX XMLCite \textit{R. Kon}, J. Math. Biol. 80, No. 4, 1187--1207 (2020; Zbl 1433.37080) Full Text: DOI
Coll, Carmen; Sánchez, Elena Quarantine in an epidemic model with seasonality. (English) Zbl 1431.92114 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 27, 12 p. (2020). MSC: 92C60 PDFBibTeX XMLCite \textit{C. Coll} and \textit{E. Sánchez}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 27, 12 p. (2020; Zbl 1431.92114) Full Text: DOI Link
Wu, Hong; Wang, Yuanshi; Li, Yufeng; DeAngelis, Donald L. Dispersal asymmetry in a two-patch system with source-sink populations. (English) Zbl 1516.92099 Theor. Popul. Biol. 131, 54-65 (2020). MSC: 92D25 92D40 35K57 92D15 PDFBibTeX XMLCite \textit{H. Wu} et al., Theor. Popul. Biol. 131, 54--65 (2020; Zbl 1516.92099) Full Text: DOI
van den Driessche, P.; Yakubu, Abdul-Aziz Demographic population cycles and \(\mathcal{R}_0\) in discrete-time epidemic models. (English) Zbl 1447.92481 J. Biol. Dyn. 13, Suppl. 1, 179-200 (2019). MSC: 92D30 92C60 92D25 PDFBibTeX XMLCite \textit{P. van den Driessche} and \textit{A.-A. Yakubu}, J. Biol. Dyn. 13, 179--200 (2019; Zbl 1447.92481) Full Text: DOI
Coll, Carmen; Sánchez, Elena Parameter identification and estimation for stage-structured population models. (English) Zbl 1430.92067 Int. J. Appl. Math. Comput. Sci. 29, No. 2, 327-336 (2019). MSC: 92D25 93E10 93E12 93C55 PDFBibTeX XMLCite \textit{C. Coll} and \textit{E. Sánchez}, Int. J. Appl. Math. Comput. Sci. 29, No. 2, 327--336 (2019; Zbl 1430.92067) Full Text: DOI
De la Sen, M.; Nistal, R.; Alonso-Quesada, S.; Ibeas, A. Some formal results on positivity, stability, and endemic steady-state attainability based on linear algebraic tools for a class of epidemic models with eventual incommensurate delays. (English) Zbl 1453.92295 Discrete Dyn. Nat. Soc. 2019, Article ID 8959681, 22 p. (2019). MSC: 92D30 93C15 37N25 PDFBibTeX XMLCite \textit{M. De la Sen} et al., Discrete Dyn. Nat. Soc. 2019, Article ID 8959681, 22 p. (2019; Zbl 1453.92295) Full Text: DOI
van den Driessche, P.; Yakubu, Abdul-Aziz Disease extinction versus persistence in discrete-time epidemic models. (English) Zbl 1437.92141 Bull. Math. Biol. 81, No. 11, 4412-4446 (2019). Reviewer: Paul Georgescu (Iaşi) MSC: 92D30 93C55 34D23 PDFBibTeX XMLCite \textit{P. van den Driessche} and \textit{A.-A. Yakubu}, Bull. Math. Biol. 81, No. 11, 4412--4446 (2019; Zbl 1437.92141) Full Text: DOI
Hao, Wenrui; Lam, King-Yeung; Lou, Yuan Concentration phenomena in an integro-PDE model for evolution of conditional dispersal. (English) Zbl 1429.35126 Indiana Univ. Math. J. 68, No. 3, 881-923 (2019). Reviewer: Andrey Zahariev (Plovdiv) MSC: 35K57 35Q92 92D15 92D25 PDFBibTeX XMLCite \textit{W. Hao} et al., Indiana Univ. Math. J. 68, No. 3, 881--923 (2019; Zbl 1429.35126) Full Text: DOI
Lewis, Mark A.; Shuai, Zhisheng; van den Driessche, P. A general theory for target reproduction numbers with applications to ecology and epidemiology. (English) Zbl 1415.92153 J. Math. Biol. 78, No. 7, 2317-2339 (2019). MSC: 92D25 92D40 92D30 PDFBibTeX XMLCite \textit{M. A. Lewis} et al., J. Math. Biol. 78, No. 7, 2317--2339 (2019; Zbl 1415.92153) Full Text: DOI
Cantó, Begoña; Coll, Carmen; Sánchez, Elena Stabilization of an epidemic model via an \(N\)-periodic approach. (English) Zbl 1396.92080 Int. J. Appl. Math. Comput. Sci. 28, No. 1, 185-195 (2018). MSC: 92D30 PDFBibTeX XMLCite \textit{B. Cantó} et al., Int. J. Appl. Math. Comput. Sci. 28, No. 1, 185--195 (2018; Zbl 1396.92080) Full Text: DOI
Ram, Yoav; Altenberg, Lee; Liberman, Uri; Feldman, Marcus W. Generation of variation and a modified mean fitness principle: necessity is the mother of genetic invention. (English) Zbl 1405.92206 Theor. Popul. Biol. 123, 1-8 (2018). MSC: 92D15 92D10 35Q92 PDFBibTeX XMLCite \textit{Y. Ram} et al., Theor. Popul. Biol. 123, 1--8 (2018; Zbl 1405.92206) Full Text: DOI
Marvá, M.; San Segundo, F. Age-structure density-dependent fertility and individuals dispersal in a population model. (English) Zbl 1392.92081 Math. Biosci. 300, 157-167 (2018). MSC: 92D25 PDFBibTeX XMLCite \textit{M. Marvá} and \textit{F. San Segundo}, Math. Biosci. 300, 157--167 (2018; Zbl 1392.92081) Full Text: DOI
Hening, Alexandru; Nguyen, Dang H.; Yin, George Stochastic population growth in spatially heterogeneous environments: the density-dependent case. (English) Zbl 1392.92076 J. Math. Biol. 76, No. 3, 697-754 (2018). MSC: 92D25 37H15 60H10 PDFBibTeX XMLCite \textit{A. Hening} et al., J. Math. Biol. 76, No. 3, 697--754 (2018; Zbl 1392.92076) Full Text: DOI arXiv
Taher, R. Ben; Naassi, N.; Rachidi, M. On the Leslie matrices, Fibonacci sequences and population dynamics. (English) Zbl 1511.92059 J. Discrete Math. Sci. Cryptography 20, No. 2, 565-594 (2017). MSC: 92D25 92D40 15A16 11B39 11C20 PDFBibTeX XMLCite \textit{R. B. Taher} et al., J. Discrete Math. Sci. Cryptography 20, No. 2, 565--594 (2017; Zbl 1511.92059) Full Text: DOI
Veprauskas, Amy; Cushing, J. M. A juvenile-adult population model: climate change, cannibalism, reproductive synchrony, and strong Allee effects. (English) Zbl 1447.92373 J. Biol. Dyn. 11, Suppl. 1, 1-24 (2017). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{A. Veprauskas} and \textit{J. M. Cushing}, J. Biol. Dyn. 11, 1--24 (2017; Zbl 1447.92373) Full Text: DOI
Coste, Christophe F. D.; Austerlitz, Frédéric; Pavard, Samuel Trait level analysis of multitrait population projection matrices. (English) Zbl 1388.92029 Theor. Popul. Biol. 116, 47-58 (2017). MSC: 92D25 92D15 62P10 PDFBibTeX XMLCite \textit{C. F. D. Coste} et al., Theor. Popul. Biol. 116, 47--58 (2017; Zbl 1388.92029) Full Text: DOI
Bajo, Ignacio; Ruiz-Herrera, Alfonso A quantitative approach to the stabilizing role of dispersal in metapopulations. (English) Zbl 1375.92045 Math. Biosci. 290, 49-55 (2017). MSC: 92D25 PDFBibTeX XMLCite \textit{I. Bajo} and \textit{A. Ruiz-Herrera}, Math. Biosci. 290, 49--55 (2017; Zbl 1375.92045) Full Text: DOI
Thieme, Horst R. From homogeneous eigenvalue problems to two-sex population dynamics. (English) Zbl 1487.47087 J. Math. Biol. 75, No. 4, 783-804 (2017). MSC: 47J10 47H07 47N60 92D25 PDFBibTeX XMLCite \textit{H. R. Thieme}, J. Math. Biol. 75, No. 4, 783--804 (2017; Zbl 1487.47087) Full Text: DOI
De Leenheer, Patrick; Mohapatra, Anushaya; Ohms, Haley A.; Lytle, David A.; Cushing, J. M. The puzzle of partial migration: adaptive dynamics and evolutionary game theory perspectives. (English) Zbl 1368.92139 J. Theor. Biol. 412, 172-185 (2017). MSC: 92D25 91A22 91A80 PDFBibTeX XMLCite \textit{P. De Leenheer} et al., J. Theor. Biol. 412, 172--185 (2017; Zbl 1368.92139) Full Text: DOI
Huang, Qihua; Wang, Hao; Lewis, Mark A. A hybrid continuous/discrete-time model for invasion dynamics of zebra mussels in rivers. (English) Zbl 1383.92068 SIAM J. Appl. Math. 77, No. 3, 854-880 (2017). MSC: 92D25 92D40 45C05 34K05 PDFBibTeX XMLCite \textit{Q. Huang} et al., SIAM J. Appl. Math. 77, No. 3, 854--880 (2017; Zbl 1383.92068) Full Text: DOI
Leung, Ka Yin; Diekmann, Odo Dangerous connections: on binding site models of infectious disease dynamics. (English) Zbl 1364.92048 J. Math. Biol. 74, No. 3, 619-671 (2017). Reviewer: Paul Georgescu (Iaşi) MSC: 92D30 92D25 34D20 60J28 PDFBibTeX XMLCite \textit{K. Y. Leung} and \textit{O. Diekmann}, J. Math. Biol. 74, No. 3, 619--671 (2017; Zbl 1364.92048) Full Text: DOI arXiv
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan; Schreiber, Sebastian J. Evolution of natal dispersal in spatially heterogenous environments. (English) Zbl 1353.92075 Math. Biosci. 283, 136-144 (2017). MSC: 92D25 34D23 92D15 PDFBibTeX XMLCite \textit{R. S. Cantrell} et al., Math. Biosci. 283, 136--144 (2017; Zbl 1353.92075) Full Text: DOI arXiv
Meissen, Emily P.; Salau, Kehinde R.; Cushing, Jim M. A global bifurcation theorem for Darwinian matrix models. (English) Zbl 1471.37079 J. Difference Equ. Appl. 22, No. 8, 1114-1136 (2016). MSC: 37N25 37G10 92D25 PDFBibTeX XMLCite \textit{E. P. Meissen} et al., J. Difference Equ. Appl. 22, No. 8, 1114--1136 (2016; Zbl 1471.37079) Full Text: DOI Link
Altenberg, Lee Norm statement considered harmful: comment on ‘Evolution of unconditional dispersal in periodic environments’. (English) Zbl 1448.92153 J. Biol. Dyn. 10, No. 1, 342-346 (2016). MSC: 92D15 92D25 92D40 PDFBibTeX XMLCite \textit{L. Altenberg}, J. Biol. Dyn. 10, No. 1, 342--346 (2016; Zbl 1448.92153) Full Text: DOI
Cushing, Jim M. One dimensional maps as population and evolutionary dynamic models. (English) Zbl 1367.92096 Cushing, Jim M. (ed.) et al., Applied analysis in biological and physical sciences. ICMBAA, Aligarh, India, June 4–6, 2015. New Delhi: Springer (ISBN 978-81-322-3638-2/hbk; 978-81-322-3640-5/ebook). Springer Proceedings in Mathematics & Statistics 186, 41-62 (2016). MSC: 92D25 92D15 92D10 39A30 PDFBibTeX XMLCite \textit{J. M. Cushing}, Springer Proc. Math. Stat. 186, 41--62 (2016; Zbl 1367.92096) Full Text: DOI
Cushing, J. M.; Diekmann, Odo The many guises of \(R_0\) (a didactic note). (English) Zbl 1343.92400 J. Theor. Biol. 404, 295-302 (2016). MSC: 92D25 92D30 PDFBibTeX XMLCite \textit{J. M. Cushing} and \textit{O. Diekmann}, J. Theor. Biol. 404, 295--302 (2016; Zbl 1343.92400) Full Text: DOI
Wang, Jie; Cheng, Cui-Ping; Huang, Shuibo Evolution of dispersal in a spatially periodic integrodifference model. (English) Zbl 1341.92065 Nonlinear Anal., Real World Appl. 32, 10-34 (2016). MSC: 92D25 39A12 PDFBibTeX XMLCite \textit{J. Wang} et al., Nonlinear Anal., Real World Appl. 32, 10--34 (2016; Zbl 1341.92065) Full Text: DOI
Mohapatra, Anushaya; Ohms, Haley A.; Lytle, David A.; De Leenheer, Patrick Population models with partial migration. (English) Zbl 1355.37102 J. Difference Equ. Appl. 22, No. 2, 316-329 (2016). MSC: 37N25 92D25 PDFBibTeX XMLCite \textit{A. Mohapatra} et al., J. Difference Equ. Appl. 22, No. 2, 316--329 (2016; Zbl 1355.37102) Full Text: DOI arXiv
Cantó, B.; Coll, C.; Sánchez, E. On the stability and spectral radius of a finite set of matrices. (English) Zbl 1341.15024 Linear Multilinear Algebra 64, No. 3, 353-361 (2016). Reviewer: Alan L. Andrew (Bundoora) MSC: 15B48 15A42 92D30 93D20 PDFBibTeX XMLCite \textit{B. Cantó} et al., Linear Multilinear Algebra 64, No. 3, 353--361 (2016; Zbl 1341.15024) Full Text: DOI Link
Ruiz-Herrera, Alfonso Analysis of dispersal effects in metapopulation models. (English) Zbl 1337.92194 J. Math. Biol. 72, No. 3, 683-698 (2016). MSC: 92D25 39A30 39A33 PDFBibTeX XMLCite \textit{A. Ruiz-Herrera}, J. Math. Biol. 72, No. 3, 683--698 (2016; Zbl 1337.92194) Full Text: DOI
Nistal, Raul; de la Sen, Manuel; Alonso-Quesada, Santiago; Ibeas, Asier; Garrido, Aitor J. On the stability and equilibrium points of multistaged \(S I(n) R\) epidemic models. (English) Zbl 1418.92185 Discrete Dyn. Nat. Soc. 2015, Article ID 379576, 15 p. (2015). MSC: 92D30 PDFBibTeX XMLCite \textit{R. Nistal} et al., Discrete Dyn. Nat. Soc. 2015, Article ID 379576, 15 p. (2015; Zbl 1418.92185) Full Text: DOI
Franco, Daniel; Ruiz-Herrera, Alfonso To connect or not to connect isolated patches. (English) Zbl 1337.92175 J. Theor. Biol. 370, 72-80 (2015). MSC: 92D25 PDFBibTeX XMLCite \textit{D. Franco} and \textit{A. Ruiz-Herrera}, J. Theor. Biol. 370, 72--80 (2015; Zbl 1337.92175) Full Text: DOI
Galanthay, Theodore E. Mathematical study of the effects of travel costs on optimal dispersal in a two-patch model. (English) Zbl 1356.34051 Discrete Contin. Dyn. Syst., Ser. B 20, No. 6, 1625-1638 (2015). Reviewer: Svetlin Georgiev (Rousse) MSC: 34C60 34D23 92D25 PDFBibTeX XMLCite \textit{T. E. Galanthay}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 6, 1625--1638 (2015; Zbl 1356.34051) Full Text: DOI
Cushing, J. M. Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations. (English) Zbl 1454.92024 J. Biol. Dyn. 8, No. 1, 57-73 (2014). Reviewer: Carlos A. dos Santos Braumann (Évora) MSC: 92D25 39A28 PDFBibTeX XMLCite \textit{J. M. Cushing}, J. Biol. Dyn. 8, No. 1, 57--73 (2014; Zbl 1454.92024) Full Text: DOI
Cantó, Begoña; Coll, Carmen; Sánchez, Elena On stability and reachability of perturbed positive systems. (English) Zbl 1344.92130 Adv. Difference Equ. 2014, Paper No. 296, 11 p. (2014). MSC: 92D25 93D05 PDFBibTeX XMLCite \textit{B. Cantó} et al., Adv. Difference Equ. 2014, Paper No. 296, 11 p. (2014; Zbl 1344.92130) Full Text: DOI
Cantó, B.; Coll, C.; Sánchez, E. A study on vaccination models for a seasonal epidemic process. (English) Zbl 1335.92091 Appl. Math. Comput. 243, 152-160 (2014). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{B. Cantó} et al., Appl. Math. Comput. 243, 152--160 (2014; Zbl 1335.92091) Full Text: DOI Link
Lam, King-Yeung; Lou, Yuan Evolutionarily stable and convergent stable strategies in reaction-diffusion models for conditional dispersal. (English) Zbl 1402.92348 Bull. Math. Biol. 76, No. 2, 261-291 (2014). MSC: 92D25 92D40 92D15 PDFBibTeX XMLCite \textit{K.-Y. Lam} and \textit{Y. Lou}, Bull. Math. Biol. 76, No. 2, 261--291 (2014; Zbl 1402.92348) Full Text: DOI
Cantó, Begoña; Coll, Carmen; Sánchez, Elena Structured parametric epidemic models. (English) Zbl 1302.92124 Int. J. Comput. Math. 91, No. 2, 188-197 (2014). MSC: 92D30 PDFBibTeX XMLCite \textit{B. Cantó} et al., Int. J. Comput. Math. 91, No. 2, 188--197 (2014; Zbl 1302.92124) Full Text: DOI Link
Kim, Yong-Jung; Kwon, Ohsang; Li, Fang Global asymptotic stability and the ideal free distribution in a starvation driven diffusion. (English) Zbl 1293.35345 J. Math. Biol. 68, No. 6, 1341-1370 (2014). Reviewer: Song Jiang (Beijing) MSC: 35Q92 35-02 35B09 92D40 35B35 35B40 PDFBibTeX XMLCite \textit{Y.-J. Kim} et al., J. Math. Biol. 68, No. 6, 1341--1370 (2014; Zbl 1293.35345) Full Text: DOI
Cosner, Chris Reaction-diffusion-advection models for the effects and evolution of dispersal. (English) Zbl 1277.35002 Discrete Contin. Dyn. Syst. 34, No. 5, 1701-1745 (2014). MSC: 35-02 35K57 92D40 35J61 35R09 92D15 35K58 35B32 35K51 PDFBibTeX XMLCite \textit{C. Cosner}, Discrete Contin. Dyn. Syst. 34, No. 5, 1701--1745 (2014; Zbl 1277.35002) Full Text: DOI
Schreiber, Sebastian J.; Killingback, Timothy P. Spatial heterogeneity promotes coexistence of rock-paper-scissors metacommunities. (English) Zbl 1296.92219 Theor. Popul. Biol. 86, 1-11 (2013). MSC: 92D25 91A22 PDFBibTeX XMLCite \textit{S. J. Schreiber} and \textit{T. P. Killingback}, Theor. Popul. Biol. 86, 1--11 (2013; Zbl 1296.92219) Full Text: DOI arXiv
Bansaye, Vincent; Lambert, Amaury New approaches to source-sink metapopulations decoupling demography and dispersal. (English) Zbl 1296.92197 Theor. Popul. Biol. 88, 31-46 (2013). MSC: 92D25 91D20 60J70 PDFBibTeX XMLCite \textit{V. Bansaye} and \textit{A. Lambert}, Theor. Popul. Biol. 88, 31--46 (2013; Zbl 1296.92197) Full Text: DOI arXiv
Logofet, Dmitrii O. Projection matrices revisited: a potential-growth indicator and the merit of indication. (English. Russian original) Zbl 1326.92061 J. Math. Sci., New York 193, No. 5, 671-686 (2013); translation from Fundam. Prikl. Mat. 17(2011/12), No. 6, 41-63 (2012). MSC: 92D25 15A24 PDFBibTeX XMLCite \textit{D. O. Logofet}, J. Math. Sci., New York 193, No. 5, 671--686 (2013; Zbl 1326.92061); translation from Fundam. Prikl. Mat. 17(2011/12), No. 6, 41--63 (2012) Full Text: DOI
Allen, L. J. S.; van den Driessche, P. Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. (English) Zbl 1279.92047 Math. Biosci. 243, No. 1, 99-108 (2013). MSC: 92C60 60J85 92C50 92-08 PDFBibTeX XMLCite \textit{L. J. S. Allen} and \textit{P. van den Driessche}, Math. Biosci. 243, No. 1, 99--108 (2013; Zbl 1279.92047) Full Text: DOI
Bacaër, Nicolas; Khaladi, Mohamed On the basic reproduction number in a random environment. (English) Zbl 1284.60140 J. Math. Biol. 67, No. 6-7, 1729-1739 (2013). MSC: 60J20 92D25 60K37 PDFBibTeX XMLCite \textit{N. Bacaër} and \textit{M. Khaladi}, J. Math. Biol. 67, No. 6--7, 1729--1739 (2013; Zbl 1284.60140) Full Text: DOI HAL
Inaba, Hisashi On the definition and the computation of the type-reproduction number \(T\) for structured populations in heterogeneous environments. (English) Zbl 1329.92130 J. Math. Biol. 66, No. 4-5, 1065-1097 (2013). MSC: 92D30 92D25 PDFBibTeX XMLCite \textit{H. Inaba}, J. Math. Biol. 66, No. 4--5, 1065--1097 (2013; Zbl 1329.92130) Full Text: DOI
Rueffler, Claus; Metz, Johan A. J. Necessary and sufficient conditions for \(R_0\) to be a sum of contributions of fertility loops. (English) Zbl 1329.92109 J. Math. Biol. 66, No. 4-5, 1099-1122 (2013). MSC: 92D25 92D15 PDFBibTeX XMLCite \textit{C. Rueffler} and \textit{J. A. J. Metz}, J. Math. Biol. 66, No. 4--5, 1099--1122 (2013; Zbl 1329.92109) Full Text: DOI
Evans, Steven N.; Ralph, Peter L.; Schreiber, Sebastian J.; Sen, Arnab Stochastic population growth in spatially heterogeneous environments. (English) Zbl 1402.92341 J. Math. Biol. 66, No. 3, 423-476 (2013). MSC: 92D25 92D40 37H15 60H10 PDFBibTeX XMLCite \textit{S. N. Evans} et al., J. Math. Biol. 66, No. 3, 423--476 (2013; Zbl 1402.92341) Full Text: DOI arXiv Link
Cushing, J. M.; Ackleh, A. S. A net reproductive number for periodic matrix models. (English) Zbl 1447.92334 J. Biol. Dyn. 6, No. 2, 166-188 (2012). MSC: 92D25 PDFBibTeX XMLCite \textit{J. M. Cushing} and \textit{A. S. Ackleh}, J. Biol. Dyn. 6, No. 2, 166--188 (2012; Zbl 1447.92334) Full Text: DOI
Averill, Isabel; Lou, Yuan; Munther, Dan On several conjectures from evolution of dispersal. (English) Zbl 1444.92132 J. Biol. Dyn. 6, No. 2, 117-130 (2012). MSC: 92D40 92D25 92D15 35K57 PDFBibTeX XMLCite \textit{I. Averill} et al., J. Biol. Dyn. 6, No. 2, 117--130 (2012; Zbl 1444.92132) Full Text: DOI
Cao, Hui; Xiao, Yanni; Zhou, Yicang The dynamics of a discrete SEIT model with age and infection age structures. (English) Zbl 1280.92035 Int. J. Biomath. 5, No. 3, Article ID 1260004, 16 p. (2012). MSC: 92C60 92B05 PDFBibTeX XMLCite \textit{H. Cao} et al., Int. J. Biomath. 5, No. 3, Article ID 1260004, 16 p. (2012; Zbl 1280.92035) Full Text: DOI
Cao, Hui; Zhou, Yicang The discrete age-structured SEIT model with application to tuberculosis transmission in China. (English) Zbl 1255.39007 Math. Comput. Modelling 55, No. 3-4, 385-395 (2012). MSC: 39A22 92D30 39A30 PDFBibTeX XMLCite \textit{H. Cao} and \textit{Y. Zhou}, Math. Comput. Modelling 55, No. 3--4, 385--395 (2012; Zbl 1255.39007) Full Text: DOI
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan Evolutionary stability of ideal free dispersal strategies in patchy environments. (English) Zbl 1267.34097 J. Math. Biol. 65, No. 5, 943-965 (2012). Reviewer: Xinyu Song (Xinyang) MSC: 34D20 92D25 PDFBibTeX XMLCite \textit{R. S. Cantrell} et al., J. Math. Biol. 65, No. 5, 943--965 (2012; Zbl 1267.34097) Full Text: DOI
Bacaër, Nicolas; Ait Dads, El Hadi On the biological interpretation of a definition for the parameter \(R _{0}\) in periodic population models. (English) Zbl 1303.92111 J. Math. Biol. 65, No. 4, 601-621 (2012). MSC: 92D30 91D10 PDFBibTeX XMLCite \textit{N. Bacaër} and \textit{E. H. Ait Dads}, J. Math. Biol. 65, No. 4, 601--621 (2012; Zbl 1303.92111) Full Text: DOI
Gejji, Richard; Lou, Yuan; Munther, Daniel; Peyton, Justin Evolutionary convergence to ideal free dispersal strategies and coexistence. (English) Zbl 1319.92035 Bull. Math. Biol. 74, No. 2, 257-299 (2012). MSC: 92D15 92D25 PDFBibTeX XMLCite \textit{R. Gejji} et al., Bull. Math. Biol. 74, No. 2, 257--299 (2012; Zbl 1319.92035) Full Text: DOI Link
Robertson, Suzanne L.; Cushing, J. M. A bifurcation analysis of stage-structured density dependent integrodifference equations. (English) Zbl 1231.92063 J. Math. Anal. Appl. 388, No. 1, 490-499 (2012). MSC: 92D40 39A28 45M99 92D25 37N25 PDFBibTeX XMLCite \textit{S. L. Robertson} and \textit{J. M. Cushing}, J. Math. Anal. Appl. 388, No. 1, 490--499 (2012; Zbl 1231.92063) Full Text: DOI
Cushing, J. M. On the relationship between \(r\) and \(R_0\) and its role in the bifurcation of stable equilibria of Darwinian matrix models. (English) Zbl 1403.92239 J. Biol. Dyn. 5, No. 3, 277-297 (2011). MSC: 92D25 92D15 91A80 PDFBibTeX XMLCite \textit{J. M. Cushing}, J. Biol. Dyn. 5, No. 3, 277--297 (2011; Zbl 1403.92239) Full Text: DOI
Schreiber, Sebastian J.; Li, Chi-Kwong Evolution of unconditional dispersal in periodic environments. (English) Zbl 1403.92189 J. Biol. Dyn. 5, No. 2, 120-134 (2011). MSC: 92D15 92D25 92D40 PDFBibTeX XMLCite \textit{S. J. Schreiber} and \textit{C.-K. Li}, J. Biol. Dyn. 5, No. 2, 120--134 (2011; Zbl 1403.92189) Full Text: DOI arXiv
Ackleh, Azmy S.; Chiquet, Ross A.; Zhang, Pei A discrete dispersal model with constant and periodic environments. (English) Zbl 1225.92052 J. Biol. Dyn. 5, No. 5, 563-578 (2011). MSC: 92D40 92D25 37N25 PDFBibTeX XMLCite \textit{A. S. Ackleh} et al., J. Biol. Dyn. 5, No. 5, 563--578 (2011; Zbl 1225.92052) Full Text: DOI
Castro-Chavez, Fernando The rules of variation: amino acid exchange according to the rotating circular genetic code. (English) Zbl 1406.92393 J. Theor. Biol. 264, No. 3, 711-721 (2010). MSC: 92D10 92C40 PDFBibTeX XMLCite \textit{F. Castro-Chavez}, J. Theor. Biol. 264, No. 3, 711--721 (2010; Zbl 1406.92393) Full Text: DOI Link
Bezuglyy, Andriy; Lou, Yuan Reaction-diffusion models with large advection coefficients. (English) Zbl 1221.35198 Appl. Anal. 89, No. 7, 983-1004 (2010). Reviewer: Sen-Zhong Huang (Hamburg) MSC: 35K57 92D25 35B40 PDFBibTeX XMLCite \textit{A. Bezuglyy} and \textit{Y. Lou}, Appl. Anal. 89, No. 7, 983--1004 (2010; Zbl 1221.35198) Full Text: DOI
Lou, Yuan; Martínez, Salome Evolution of cross-diffusion and self-diffusion. (English) Zbl 1342.92189 J. Biol. Dyn. 3, No. 4, 410-429 (2009). MSC: 92D25 35K57 PDFBibTeX XMLCite \textit{Y. Lou} and \textit{S. Martínez}, J. Biol. Dyn. 3, No. 4, 410--429 (2009; Zbl 1342.92189) Full Text: DOI
Hambrock, R.; Lou, Y. The evolution of conditional dispersal strategies in spatially heterogeneous habitats. (English) Zbl 1179.92060 Bull. Math. Biol. 71, No. 8, 1793-1817 (2009). MSC: 92D40 92D30 35K57 35B35 35Q92 PDFBibTeX XMLCite \textit{R. Hambrock} and \textit{Y. Lou}, Bull. Math. Biol. 71, No. 8, 1793--1817 (2009; Zbl 1179.92060) Full Text: DOI
Bacaër, Nicolas Periodic matrix population models: growth rate, basic reproduction number, and entropy. (English) Zbl 1173.92026 Bull. Math. Biol. 71, No. 7, 1781-1792 (2009). MSC: 92D25 15A18 94A17 92D40 PDFBibTeX XMLCite \textit{N. Bacaër}, Bull. Math. Biol. 71, No. 7, 1781--1792 (2009; Zbl 1173.92026) Full Text: DOI HAL
de-Camino-Beck, Tomás; Lewis, Mark A.; van den Driessche, P. A graph-theoretic method for the basic reproduction number in continuous time epidemiological models. (English) Zbl 1231.92059 J. Math. Biol. 59, No. 4, 503-516 (2009). MSC: 92D30 05C20 05C90 37N25 34C99 PDFBibTeX XMLCite \textit{T. de-Camino-Beck} et al., J. Math. Biol. 59, No. 4, 503--516 (2009; Zbl 1231.92059) Full Text: DOI
Cushing, J. M. Three stage semelparous Leslie models. (English) Zbl 1204.92054 J. Math. Biol. 59, No. 1, 75-104 (2009). MSC: 92D25 39A28 39A60 39A10 37N25 92D40 PDFBibTeX XMLCite \textit{J. M. Cushing}, J. Math. Biol. 59, No. 1, 75--104 (2009; Zbl 1204.92054) Full Text: DOI
Kostova, Tanya Interplay of node connectivity and epidemic rates in the dynamics of epidemic networks. (English) Zbl 1159.92035 J. Difference Equ. Appl. 15, No. 4, 415-428 (2009). MSC: 92D30 93C95 39A10 PDFBibTeX XMLCite \textit{T. Kostova}, J. Difference Equ. Appl. 15, No. 4, 415--428 (2009; Zbl 1159.92035) Full Text: DOI Link
Allen, L. J. S.; Lou, Y.; Nevai, A. L. Spatial patterns in a discrete-time SIS patch model. (English) Zbl 1162.92033 J. Math. Biol. 58, No. 3, 339-375 (2009). MSC: 92D30 92D40 37N25 PDFBibTeX XMLCite \textit{L. J. S. Allen} et al., J. Math. Biol. 58, No. 3, 339--375 (2009; Zbl 1162.92033) Full Text: DOI
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan Approximating the ideal free distribution via reaction-diffusion-advection equations. (English) Zbl 1168.35002 J. Differ. Equations 245, No. 12, 3687-3703 (2008). Reviewer: Cheng He (Beijing) MSC: 35-02 35K57 92D25 PDFBibTeX XMLCite \textit{R. S. Cantrell} et al., J. Differ. Equations 245, No. 12, 3687--3703 (2008; Zbl 1168.35002) Full Text: DOI
Allen, Linda J. S.; van den Driessche, P. The basic reproduction number in some discrete-time epidemic models. (English) Zbl 1147.92032 J. Difference Equ. Appl. 14, No. 10-11, 1127-1147 (2008). MSC: 92D30 39A11 PDFBibTeX XMLCite \textit{L. J. S. Allen} and \textit{P. van den Driessche}, J. Difference Equ. Appl. 14, No. 10--11, 1127--1147 (2008; Zbl 1147.92032) Full Text: DOI
Chen, Xinfu; Hambrock, Richard; Lou, Yuan Evolution of conditional dispersal: a reaction-diffusion-advection model. (English) Zbl 1141.92040 J. Math. Biol. 57, No. 3, 361-386 (2008). MSC: 92D40 35K57 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Math. Biol. 57, No. 3, 361--386 (2008; Zbl 1141.92040) Full Text: DOI
de-Camino-Beck, T.; Lewis, M. A. A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species. (English) Zbl 1298.92120 Bull. Math. Biol. 69, No. 4, 1341-1354 (2007). MSC: 92D40 PDFBibTeX XMLCite \textit{T. de-Camino-Beck} and \textit{M. A. Lewis}, Bull. Math. Biol. 69, No. 4, 1341--1354 (2007; Zbl 1298.92120) Full Text: DOI
Cantrell, Robert Stephen; Cosner, Chris; Deangelis, Donald L.; Padron, Victor The ideal free distribution as an evolutionarily stable strategy. (English) Zbl 1122.92062 J. Biol. Dyn. 1, No. 3, 249-271 (2007). MSC: 92D40 92D15 91A40 PDFBibTeX XMLCite \textit{R. S. Cantrell} et al., J. Biol. Dyn. 1, No. 3, 249--271 (2007; Zbl 1122.92062) Full Text: DOI