References
- W.O. Kermack and A.G. McKendrick, A Contribution to the Mathematical Theory of Epidemics, Proc. R. Soc. A Math. Phys. Eng. Sci. 115 (1927), 700-721.
- R.M. Anderson and R.M. May, The Population Dynamics of Microparasites and their Invertebrate Hosts, Philosophical Transactions of the Royal Society B: Biological Sciences 291 (1981), 451-524.
- S. Jana and T.K. Kar, Modeling and analysis of a prey-predator system with disease in the prey, Chaos, Solitons and Fractals 47 (2013), 42-53. https://doi.org/10.1016/j.chaos.2012.12.002
- S. Chakraborty, B.W. Kooi, B. Biswas and J. Chattopadhyay, Revealing the role of predator interference in a predator-prey system with disease in prey population, Ecological Complexity 21 (2015), 100-111. https://doi.org/10.1016/j.ecocom.2014.11.005
- S. Sharma and G.P. Samanta, A Leslie-Gower predator-prey model with disease in prey incorporating a prey refuge, Chaos, Solitons and Fractals 70 (2015), 69-84. https://doi.org/10.1016/j.chaos.2014.11.010
- X.Y. Meng, N.N. Qin and H.F. Huo, Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species, Journal of Biological Dynamics 12 (2018), 342-374. https://doi.org/10.1080/17513758.2018.1454515
- C. Maji, D. Kesh and D. Mukherjee, Bifurcation and global stability in an eco-epidemic model with refuge, Energy, Ecol. Environ. 4 (2019), 103-115. https://doi.org/10.1007/s40974-019-00117-6
- A. Hugo and E. Simanjilo, Analysis of an Eco-Epidemiological Model under Optimal Control Measures for Infected Prey, Applications and Applied Mathematics: An International Journal (AAM) 14 (2019), 117-138.
- D. Melese, O. Muhye and S.K. Sahu, Dynamical Behavior of an Eco-epidemiological Model Incorporating Prey Refuge and Prey Harvesting, Applications and Applied Mathematics: An International Journal (AAM) 15 (2020), 1193-1212.
- M. Haque, A predator-prey model with disease in the predator species only, Nonlinear Analysis: Real World Applications 11 (2010), 2224-2236. https://doi.org/10.1016/j.nonrwa.2009.06.012
- R. Xu and S. Zhang, Modelling and analysis of a delayed predator-prey model with disease in the predator, Applied Mathematics and Computation 224 (2013), 372-386. https://doi.org/10.1016/j.amc.2013.08.067
- S. Jana, S. Guria, U. Das, T.K. Kar and A. Ghorai, Effect of harvesting and infection on predator in a prey-predator system, Nonlinear Dynamics 81 (2015), 917-930. https://doi.org/10.1007/s11071-015-2040-2
- S. Biswas, S. Samanta and J. Chattopadhyay, Cannibalistic predator-prey model with disease in predator-a delay model, International Journal of Bifurcation and Chaos 25 (2015).
- C. Huang, H. Zhang, J. Cao and H. Hu, Stability and Hopf Bifurcation of a Delayed Prey-Predator Model with Disease in the Predator, International Journal of Bifurcation and Chaos 29 (2019).
- K.P. Das, K. Kundu and J. Chattopadhyay, A predator-prey mathematical model with both the populations affected by diseases, Ecological Complexity 8 (2011), 68-80. https://doi.org/10.1016/j.ecocom.2010.04.001
- X. Gao, Q. Pan, M. He and Y. Kang, A predator-prey model with diseases in both prey and predator, Phys. A Stat. Mech. Its Appl. 392 (2013), 5898-5906. https://doi.org/10.1016/j.physa.2013.07.077
- S.P. Bera, A. Maiti and G.P. Samanta, A prey-predator model with infection in both prey and predator, Filomat 29 (2015), 1753-1767. https://doi.org/10.2298/FIL1508753B
- I. Ahn, W. Ko and K. Ryu, Asymptotic behavior of a ratio-dependent predatorprey system with disease in the prey, Discrete Contin. Dyn. Syst. Special 2013 (2013), 11-19.
- W. Ko, W. Choi and I. Ahn, Asymptotic behavior of a diffusive eco-epidemiological model with an infected prey population, Adv. Differ. Equations 227 (2017), 1-20.
- W. Ko and I. Ahn, Pattern formation of a diffusive eco-epidemiological model with predator-prey interaction, Commun. Pure Appl. Anal. 17 (2018), 375-389. https://doi.org/10.3934/cpaa.2018021
- S.N. Raw, B. Tiwari and P. Mishra, Dynamical complexities and pattern formation in an eco-epidemiological model with prey infection and harvesting, J. Appl. Math. Comput. 64 (2020), 17-52. https://doi.org/10.1007/s12190-020-01342-7
- N. Babakordi, H.R.Z. Zangeneh and M.M. Ghahfarokhi, Multiple Bifurcation Analysis in a Diffusive Eco-Epidemiological Model with Time Delay, Int. J. Bifurc. Chaos 29 (2019), 1-23.
- J. Li, Z. Jin, G.Q. Sun and L.P. Song, Pattern dynamics of a delayed eco-epidemiological model with disease in the predator, Discret. Contin. Dyn. Syst. Ser. S 10 (2017), 1025-1042.
- B. Mukhopadhyay and R. Bhattacharyya, Dynamics of a delay-diffusion prey-predator model with disease in the prey, J. Appl. Math. Comput. 17 (2005), 361-377. https://doi.org/10.1007/BF02936062
- D. Mukherjee, Effect of diffusion on a two-species eco-epidemiological model, Math. Comput. Model. Dyn. Syst. 11 (2005), 447-457. https://doi.org/10.1080/13873950500064293
- R.K. Upadhyay and P. Roy, Disease Spread and Its Effect on Population Dynamics in Heterogeneous Environment, Int. J. Bifurc. Chaos 26 (2016), 1-27.
- B. Chakraborty, S. Ghorai and N. Bairag, Reaction-diffusion predator-prey-parasite system and spatiotemporal complexity, Applied Mathematics and Computation 386 (2020).
- D. Melese and S. Feyisa, Stability and bifurcation analysis of a diffusive modified Leslie-Gower prey-predator model with prey infection and Beddington DeAngelis functional response, Heliyon 7 (2021).
- G. Zhang and X. Wang, Effect of Diffusion and Cross-Diffusion in a Predator-Prey Model with a Transmissible Disease in the Predator Species, Abstract and Applied Analysis 2014 (2020), 1-12.
- L. Wenqing and W. Qingwan, Influence of Diffusion on an Invasion-Diffusion Prey-Predator Model With Disease Infection in Both Populations, Applied Mathematics and Mechanics 40 (2019), 321-331. https://doi.org/10.1007/s10483-019-2443-9
- K. Ryu, Existence of non-constant positive solutions for a ratio-dependent predator-prey system with disease in prey, J. CHUNGCHEONG Math. Soc. 31 (2018), 75-87. https://doi.org/10.14403/JCMS.2018.31.1.75
- C. Li, Spatiotemporal pattern formation of a ratio-dependent invasion-diffusion predator-prey system with disease in the predator, Journal of Interdisciplinary Mathematics 22 (2019), 101-120. https://doi.org/10.1080/09720502.2017.1367526
- M. Wang and P.Y.H. Pang, Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model, Appl. Math. Lett. 21 (2008), 1215-1220. https://doi.org/10.1016/j.aml.2007.10.026